Výsledky vyhledávání - "PDEs with low regular coefficients and/or low regular data"

Boundary Riesz potential estimates for parabolic equations with measurable nonlinearities

Autoři: Lee, Ho-Sik Kim, Youchan

Zdroj: Communications in Analysis and Mechanics, Vol 17, Iss 1, Pp 61-99 (2025)

Témata: riesz potentials, measurable nonlinearities, PDEs with low regular coefficients and/or low regular data, Riesz potentials, Smoothness and regularity of solutions to PDEs, Initial-boundary value problems for second-order parabolic equations, QA801-939, nonlinear parabolic equations, Analytic mechanics, Nonlinear parabolic equations, PDEs with measure, A priori estimates in context of PDEs, Spaces of measurable functions (\(L^p\)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.)

Popis souboru: application/xml

Přístupová URL adresa: https://doaj.org/article/753a5937591c43ea822c8d162ecba479

Divergence-Free Virtual Element Method for the Stokes Equations with Damping on Polygonal Meshes: Divergence-free virtual element method for the Stokes equations with damping on polygonal meshes

Autoři: Xiong, Yu Chen, Yanping Zhou, Jianwei a další

Zdroj: Numerical Mathematics: Theory, Methods and Applications. 17:210-242

Témata: PDEs with low regular coefficients and/or low regular data, optimal error estimates, Error bounds for boundary value problems involving PDEs, divergence-free, nonlinear damping term, Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs, virtual element

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/7966426
https://doi.org/10.4208/nmtma.oa-2023-0071

Nonstationary Venttsel problems with discontinuous data

Autoři: Darya E. Apushkinskaya Alexander I. Nazarov Dian K. Palagachev a další

Zdroj: Journal of Differential Equations. 375:538-566

Témata: Quasilinear parabolic equations, PDEs with low regular coefficients and/or low regular data, 35K20, 35R05, 35K59, maximal regularity, Strong solutions to PDEs, parabolic, quasilinear, A priori estimates in context of PDEs, 01 natural sciences, Mathematics - Analysis of PDEs, Parabolic Venttsel problem, measurable coefficients, strong solutions, linear equations, quasilinear equations, Initial-boundary value problems for second-order parabolic equations, partially VMO, FOS: Mathematics, strong solvability, Venttsel problem, 0101 mathematics, Diffusion processes, Analysis of PDEs (math.AP)

Popis souboru: application/xml

Přístupová URL adresa: http://arxiv.org/abs/2211.09232

A machine learning approach coupled with polar coordinate based localized collocation method for inner surface identification in heat conduction problem

Autoři: Chu, Wen-Hui Fu, Zhuo-Jia Tang, Zhuo-Chao a další

Zdroj: Computers & Mathematics with Applications. 148:41-61

Témata: Inverse problems for PDEs, PDEs in connection with classical thermodynamics and heat transfer, PDEs with low regular coefficients and/or low regular data, neural network, inverse heat conduction problem, Computational learning theory, Diffusive and convective heat and mass transfer, heat flow, Finite difference methods applied to problems in thermodynamics and heat transfer, effective thermal conductivity, Reaction-diffusion equations, internal boundary detection, Inverse problems in thermodynamics and heat transfer, Finite difference methods for initial value and initial-boundary value problems involving PDEs, Spectral, collocation and related (meshless) methods applied to problems in thermodynamics and heat transfer, polar coordinate based generalized finite difference method, Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs, Artificial neural networks and deep learning

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/7750280
https://doi.org/10.1016/j.camwa.2023.07.031

Existence and regularity for nonlinear parabolic double obstacle problems

Autoři: Sun-Sig Byun Seungjin Ryu

Zdroj: Nonlinearity. 36:4785-4809

Témata: Unilateral problems for nonlinear parabolic equations and variational inequalities with nonlinear parabolic operators, PDEs with low regular coefficients and/or low regular data, Quasilinear parabolic equations with \(p\)-Laplacian, Calderón-Zygmund estimate, variational inequality, 0101 mathematics, double obstacle, 01 natural sciences

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/7726812
https://doi.org/10.1088/1361-6544/ace875

Nonstationary Venttsel Problem with VMOx Leading Coefficients: Nonstationary Venttsel problem with \(VMO_x\) leading coefficients

Autoři: Darya E. Apushkinskaya Alexander I. Nazarov Dian K. Palagachev a další

Zdroj: Doklady Mathematics. 107:97-100

Témata: class VMO, Linear parabolic equation, Parabolic Venttsel problem, partially VMO coefficients, Strong solutions, PDEs with low regular coefficients and/or low regular data, linear second-order parabolic equations, mathematics, a priori estimates, uniqueness, A priori estimates in context of PDEs, class \(VMO_x \), general, Initial-boundary value problems for second-order parabolic equations, Venttsel problem, solvability

Popis souboru: application/xml

Gradient estimates of parabolic Cauchy–Dirichlet problems on Morrey–Banach spaces: Gradient estimates of parabolic Cauchy-Dirichlet problems on Morrey-Banach spaces

Autoři: Kwok-Pun Ho

Zdroj: Journal of Elliptic and Parabolic Equations. 8:743-766

Témata: PDEs with low regular coefficients and/or low regular data, Singular and oscillatory integrals (Calderón-Zygmund, etc.), Smoothness and regularity of solutions to PDEs, Morrey spaces, Orlicz spaces, A priori estimates in context of PDEs, 01 natural sciences, Spaces of measurable functions (\(L^p\)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.), extrapolation theory, Lorentz spaces, Initial-boundary value problems for second-order parabolic equations, 0101 mathematics, Function spaces arising in harmonic analysis, variable Lebesgue spaces

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/7610713
https://doi.org/10.1007/s41808-022-00174-9

The normal derivative lemma and surrounding issues

Autoři: Apushkinskaya, Darya E. Nazarov, Alexander I.

Zdroj: Russian Mathematical Surveys. 77:189-249

Témata: Aleksandrov-Bakelman maximum principle, Second-order elliptic equations, Harnack inequality, PDEs with low regular coefficients and/or low regular data, Research exposition (monographs, survey articles) pertaining to partial differential equations, normal derivative lemma, Hopf-Oleinik lemma, strong maximum principle, 0101 mathematics, Liouville theorems and Phragmén-Lindelöf theorems in context of PDEs, A priori estimates in context of PDEs, 01 natural sciences, Maximum principles in context of PDEs

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/7552945
https://doi.org/10.1070/rm10049

Venttsel Boundary Value Problems with Discontinuous Data: Venttsel boundary value problems with discontinuous data

Autoři: Darya E. Apushkinskaya Lubomira G. Softova Alexander I. Nazarov a další

Zdroj: SIAM Journal on Mathematical Analysis. 53:221-252

Témata: Quasilinear, PDEs with low regular coefficients and/or low regular data, Strong solvability, existence, A priori estimates, Existence problems for PDEs: global existence, local existence, non-existence, Primary 35R05, 35B45, Secondary 35J25, 35J66, 60J60, 91G80, VMO, discontinuous coefficients, 01 natural sciences, Second-order elliptic equations, Mathematics - Analysis of PDEs, Boundary value problems for second-order elliptic equations, Quasilinear elliptic equations, quasilinear second-order elliptic equations, FOS: Mathematics, Maximal regularity, Venttsel problem, 0101 mathematics, Second order elliptic equations, Analysis of PDEs (math.AP)

Popis souboru: application/xml

Přístupová URL adresa: http://arxiv.org/pdf/1907.03017
http://arxiv.org/abs/1907.03017
https://zbmath.org/7293731
https://doi.org/10.1137/19m1286839
https://www.iris.unisa.it/handle/11386/4724938
https://dblp.uni-trier.de/db/journals/siamma/siamma53.html#ApushkinskayaNP21
https://epubs.siam.org/doi/pdf/10.1137/19M1286839
https://doi.org/10.1137/19M1286839
http://ui.adsabs.harvard.edu/abs/2019arXiv190703017A/abstract
https://pureportal.spbu.ru/ru/publications/venttsel-boundary-value-problems-with-discontinuous-data
https://hdl.handle.net/11386/4724938
https://epubs.siam.org/doi/pdf/10.1137/19M1286839
https://doi.org/10.1137/19M1286839

On the Wave Equation with Space Dependent Coefficients: Singularities and Lower Order Terms: On the wave equation with space dependent coefficients: singularities and lower order terms

Autoři: Marco Discacciati Claudia Garetto Costas Loizou

Zdroj: Acta Applicandae Mathematicae. 187

Témata: PDEs with low regular coefficients and/or low regular data, Hyperbolic equations, very weak solutions, Generalized solutions to partial differential equations, Initial value problems for second-order hyperbolic equations, 01 natural sciences, Regularisation, hyperbolic equations, Mathematics - Analysis of PDEs, 35L05, 35L10, 35D99, 0103 physical sciences, regularisation, FOS: Mathematics, Very weak solutions, 0101 mathematics, Analysis of PDEs (math.AP)

Popis souboru: application/xml

Přístupová URL adresa: http://arxiv.org/abs/2208.03477
https://zbmath.org/7754824
https://doi.org/10.1007/s10440-023-00601-6

Elliptic Venttsel problems with $VMO$ coefficients: Elliptic Venttsel problems with \(VMO\) coefficients

Autoři: Darya E. Apushkinskaya Alexander I. Nazarov Dian Palagachev a další

Zdroj: Rendiconti Lincei, Matematica e Applicazioni. 31:391-399

Témata: Quasilinear, PDEs with low regular coefficients and/or low regular data, Strong solvability, maximal regularity, A priori estimates, VMO, Strong solutions to PDEs, A priori estimates in context of PDEs, Second order elliptic equations, Venttsel problem, Maximal regularity, Second-order elliptic equations, Boundary value problems for second-order elliptic equations, Quasilinear elliptic equations, strong solvability, discontinuous principal coeffcients, Diffusion processes, Financial applications of other theories

Popis souboru: application/xml

Přístupová URL adresa: https://www.ems-ph.org/journals/show_abstract.php?issn=1120-6330&vol=31&iss=2&rank=7
https://pureportal.spbu.ru/ru/publications/elliptic-venttsel-problems-with-vmo-coefficients
https://www.iris.unisa.it/handle/11386/4728754
https://iris.poliba.it/handle/11589/183471
https://hdl.handle.net/11386/4728754
https://www.ems-ph.org/journals/show_issue.php?issn=1120-6330&vol=31&iss=2&rank=7
https://doi.org/10.4171/RLM/896

New Stability Estimates for an Unfitted Finite Element Method for Two-Phase Stokes Problem: New stability estimates for an unfitted finite element method for two-phase Stokes problem

Autoři: Johnny Guzmán Ernesto Cáceres Maxim A. Olshanskii

Zdroj: SIAM Journal on Numerical Analysis. 58:2165-2192

Témata: PDEs with low regular coefficients and/or low regular data, XFEM, Numerical Analysis (math.NA), Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs, Stability and convergence of numerical methods for boundary value problems involving PDEs, Fictitious domain methods for boundary value problems involving PDEs, PDEs in connection with fluid mechanics, A priori estimates in context of PDEs, 01 natural sciences, Stokes and related (Oseen, etc.) flows, two-phase flow, Stokes problem, FOS: Mathematics, cutFEM, finite elements, Liquid-liquid two component flows, Mathematics - Numerical Analysis, 0101 mathematics, discrete extension

Popis souboru: application/xml

Přístupová URL adresa: http://arxiv.org/pdf/1906.02779
http://arxiv.org/abs/1906.02779

Precise Morrey regularity of the weak solutions to a kind of quasilinear systems with discontinuous data

Autoři: Luisa Fattorusso Lubomira Softova

Zdroj: Electronic Journal of Qualitative Theory of Differential Equations, Vol 2020, Iss 36, Pp 1-13 (2020)

Témata: componentwise coercivity, 35J55, 35B40, QA Mathematics / matematika, PDEs with low regular coefficients and/or low regular data, Smoothness and regularity of solutions to PDEs, Reifenberg-flat domain, 0211 other engineering and technologies, Boundary value problems for second-order elliptic systems, Morrey spaces, 02 engineering and technology, morrey spaces, quasilinear elliptic systems, reifenberg-flat domain, 01 natural sciences, controlled growth conditions, Mathematics - Analysis of PDEs, QA1-939, FOS: Mathematics, 0101 mathematics, Mathematics, Analysis of PDEs (math.AP)

Popis souboru: application/xml; text

Přístupová URL adresa: http://arxiv.org/abs/2006.06967
https://doaj.org/article/715ddd6456aa48518f0f27211ad7cdef
http://www.math.u-szeged.hu/ejqtde/p8176.pdf
https://iris.unirc.it/handle/20.500.12318/59306
https://www.iris.unisa.it/handle/11386/4717754

Asymptotically regular operators in generalized Morrey spaces

Autoři: Sun-Sig Byun Lyoubomira Softova

Zdroj: Bulletin of the London Mathematical Society. 52:64-76

Témata: PDEs with low regular coefficients and/or low regular data, Smoothness and regularity of solutions to PDEs, A priori estimates in context of PDEs, Second-order parabolic systems, 01 natural sciences, p-Laplacian operators, Generalized Morrey spaces, Holder regularity, Spaces of measurable functions (\(L^p\)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.), Functional Analysis (math.FA), 35J60, Mathematics - Functional Analysis, Mathematics - Analysis of PDEs, Initial-boundary value problems for second-order parabolic equations, FOS: Mathematics, 0101 mathematics, Analysis of PDEs (math.AP)

Popis souboru: application/xml

Přístupová URL adresa: http://arxiv.org/pdf/1904.10713
http://arxiv.org/abs/1904.10713
https://londmathsoc.onlinelibrary.wiley.com/doi/full/10.1112/blms.12306
https://www.iris.unisa.it/handle/11386/4717763
https://londmathsoc.onlinelibrary.wiley.com/doi/epdf/10.1112/blms.12306
https://hdl.handle.net/11386/4717763
https://doi.org/10.1112/blms.12306

Optimal regularity estimates for general nonlinear parabolic equations

Autoři: Sun-Sig Byun Dian K. Palagachev Pilsoo Shin

Zdroj: manuscripta mathematica. 162:67-98

Témata: Harmonic analysis and PDEs, Quasilinear parabolic equations, PDEs with low regular coefficients and/or low regular data, optimal regularity estimates, Smoothness and regularity of solutions to PDEs, Calderon-Zygmund regularizing property, Cauchy-Dirichlet problem, 0101 mathematics, A priori estimates in context of PDEs, 01 natural sciences

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/7184120
https://doi.org/10.1007/s00229-019-01127-8
https://link.springer.com/article/10.1007/s00229-019-01127-8
https://iris.poliba.it/handle/11589/118252

Weighted Sobolev-Morrey Regularity of Solutions to Variational Inequalities: Weighted Sobolev-Morrey regularity of solutions to variational inequalities

Autoři: Guliyev, V. S. Serbetci, A. Ekincioglu, Ismail

Zdroj: Azerbaijan Journal of Mathematics. :94

Témata: PDEs with low regular coefficients and/or low regular data, regularity, measurable coefficients, elliptic obstacle problem, Unilateral problems for elliptic systems and systems of variational inequalities with elliptic operators, variational inequalities

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/7841884
https://aperta.ulakbim.gov.tr/record/282955

An end point Orlicz type estimate for nonlinear elliptic equations

Autoři: Yunsoo Jang Youchan Kim

Zdroj: Nonlinear Analysis. 177:572-585

Témata: measurable nonlinearities, PDEs with low regular coefficients and/or low regular data, Smoothness and regularity of solutions to PDEs, Calderón-Zygmund type estimates, Nonlinear elliptic equations, 0101 mathematics, nonlinear elliptic equations, 01 natural sciences

Popis souboru: application/xml

Přístupová URL adresa: https://www.sciencedirect.com/science/article/pii/S0362546X18300725

On $L_p$-estimates for elliptic and parabolic equations with $A_p$ weights: On \(L_p\)-estimates for elliptic and parabolic equations with \(A_p\) weights

Autoři: Hongjie Dong Doyoon Kim

Zdroj: Transactions of the American Mathematical Society. 370:5081-5130

Témata: Higher-order parabolic systems, PDEs with low regular coefficients and/or low regular data, a priori estimates, parabolic systems, parabolic equations, mixed weighted spaces, Higher-order elliptic systems, sharp functions, A priori estimates in context of PDEs, 01 natural sciences, Higher-order parabolic equations, Harmonic analysis and PDEs, Harmonic analysis on homogeneous spaces, Mathematics - Analysis of PDEs, existence of solutions, FOS: Mathematics, spaces of homogeneous type, 0101 mathematics, Analysis of PDEs (math.AP), 35R05, 42B37, 35B45, 35K25, 35J48

Popis souboru: application/xml

Přístupová URL adresa: http://arxiv.org/abs/1603.07844
https://www.ams.org/journals/tran/2018-370-07/S0002-9947-2018-07161-6/home.html
https://koreauniv.pure.elsevier.com/en/publications/on-lsubpsub-estimates-for-elliptic-and-parabolic-equations-with-a

End point gradient estimates for quasilinear parabolic equations with variable exponent growth on nonsmooth domains

Autoři: Jung-Tae Park Karthik Adimurthi Sun-Sig Byun

Zdroj: Calculus of Variations and Partial Differential Equations. 60

Témata: Quasilinear parabolic equations, PDEs with low regular coefficients and/or low regular data, Smoothness and regularity of solutions to PDEs, Quasilinear parabolic equations with \(p\)-Laplacian, intrinsic cylinders, Lipschitz truncation, A priori estimates in context of PDEs, 01 natural sciences, Mathematics - Analysis of PDEs, Generalized functions for nonlinear analysis (Rosinger, Colombeau, nonstandard, etc.), Calderón-Zygmund type estimates, FOS: Mathematics, 0101 mathematics, Analysis of PDEs (math.AP)

Popis souboru: application/xml

Přístupová URL adresa: http://arxiv.org/pdf/1806.00944
http://arxiv.org/abs/1806.00944
https://zbmath.org/7384298
https://doi.org/10.1007/s00526-021-01982-y
https://link.springer.com/article/10.1007/s00526-021-01982-y

Weighted Orlicz estimates for general nonlinear parabolic equations over nonsmooth domains

Autoři: Sun-Sig Byun Seungjin Ryu

Zdroj: Journal of Functional Analysis. 272:4103-4121

Témata: PDEs with low regular coefficients and/or low regular data, Smoothness and regularity of solutions to PDEs, Calderón-Zygmund type estimate, nonlinear parabolic problem, Nonlinear parabolic equations, parabolic Muckenhoupt weight, weighted Orlicz space, 0101 mathematics, 01 natural sciences

Popis souboru: application/xml

Přístupová URL adresa: https://www.sciencedirect.com/science/article/pii/S0022123617300265