Výsledky vyhľadávania - Biharmonic and polyharmonic equations and functions in higher dimensions

Linearized inverse problem for biharmonic operators at high frequencies

Autori: Xiaomeng Zhao Ganghua Yuan

Zdroj: Mathematical Methods in the Applied Sciences. 48:852-869

Predmety: Inverse problems for PDEs, increasing stability, Mathematics - Analysis of PDEs, biharmonic equation, FOS: Mathematics, 35R30, 31B30, inverse boundary value problem, 0101 mathematics, Biharmonic and polyharmonic equations and functions in higher dimensions, 01 natural sciences, Analysis of PDEs (math.AP)

Popis súboru: application/xml

Prístupová URL adresa: http://arxiv.org/abs/2211.02851

THE BIHARMONIC NEUMANN PROBLEM WITH DOUBLE INVOLUTION: The biharmonic Neumann problem with double involution

Autori: V.V. Karachik

Zdroj: Bulletin of the South Ural State University series "Mathematics. Mechanics. Physics". 16:18-26

Predmety: Boundary value problems for higher-order elliptic equations, nonlocal Neumann problem, biharmonic equation, solvability conditions, Green's function, Biharmonic and polyharmonic equations and functions in higher dimensions

Popis súboru: application/xml

On a semilinear fourth order elliptic problem with asymmetric nonlinearity

Autori: Fabiana Ferreira Everaldo S. Medeiros Wallisom Rosa

Zdroj: Topological Methods in Nonlinear Analysis. :1-13

Predmety: Boundary value problems for higher-order elliptic equations, biharmonic equation, existence, Existence problems for PDEs: global existence, local existence, non-existence, Navier boundary condition, 0101 mathematics, Biharmonic and polyharmonic equations and functions in higher dimensions, 01 natural sciences

Popis súboru: application/xml

Prístupová URL adresa: https://zbmath.org/7658851
https://doi.org/10.12775/tmna.2022.028

Estimates on the Green function and existence of positive solutions for some polyharmonic nonlinear equations in the half space

Autori: Imed Bachar Malek Zribi Habib Mâagli

Zdroj: manuscripta mathematica. 113:269-291

Predmety: Boundary value problems for higher-order elliptic equations, Green function, positive solution, \(m\)-polyharmonic nonlinear elliptic problem, Nonlinear elliptic equations, 0101 mathematics, Biharmonic and polyharmonic equations and functions in higher dimensions, Dirichlet boundary conditions, 01 natural sciences, 3G-Theorem, Kato class of functions

Popis súboru: application/xml

Prístupová URL adresa: https://link.springer.com/article/10.1007/s00229-003-0410-4
https://dialnet.unirioja.es/servlet/articulo?codigo=2804586
https://documat.unirioja.es/servlet/articulo?codigo=2804586

Concentration for a biharmonic Schrödinger equation

Autori: Dong Wang

Zdroj: Pacific Journal of Mathematics. 289:469-487

Predmety: Variational methods for higher-order elliptic equations, Schrödinger operator, Schrödinger equation, 0101 mathematics, Biharmonic and polyharmonic equations and functions in higher dimensions, 01 natural sciences, standing waves, nonlinear biharmonic Schrödinger equation

Popis súboru: application/xml

Prístupová URL adresa: https://msp.org/pjm/2017/289-2/pjm-v289-n2-p09-s.pdf
https://msp.org/pjm/2017/289-2/p09.xhtml

Energy estimates for the biharmonic equation in three dimensions

Autori: Changhao Lin

Zdroj: Quarterly of Applied Mathematics. 52:649-663

Predmety: biharmonic equation, Asymptotic behavior of solutions to PDEs, energy decay estimates, 0101 mathematics, A priori estimates in context of PDEs, Biharmonic and polyharmonic equations and functions in higher dimensions, 01 natural sciences

Popis súboru: application/xml

Prístupová URL adresa: https://www.ams.org/qam/1994-52-04/S0033-569X-1994-1306042-3/S0033-569X-1994-1306042-3.pdf
https://zbmath.org/724856
https://doi.org/10.1090/qam/1306042
https://www.ams.org/journals/qam/1994-52-04/S0033-569X-1994-1306042-3/home.html
https://www.ams.org/qam/1994-52-04/S0033-569X-1994-1306042-3/S0033-569X-1994-1306042-3.pdf

Remarks on radial symmetry and monotonicity for solutions of semilinear higher order elliptic equations

Autori: Filippo Gazzola Gianmarco Sperone

Zdroj: Mathematics in Engineering, Vol 4, Iss 5, Pp 1-24 (2022)

Predmety: polyharmonic operators, green function, radial symmetry, conformal dimensions, Applied mathematics. Quantitative methods, T57-57.97

Popis súboru: electronic resource

Relation: https://doaj.org/toc/2640-3501

Prístupová URL adresa: https://doaj.org/article/283690d7d0f048569070f29e8b55a9d6

Superharmonicity of curvature function for the convex level sets of harmonic functions

Autori: Wei Zhang Xi-Nan Ma

Zdroj: Calculus of Variations and Partial Differential Equations. 60

Predmety: convex level sets, 0101 mathematics, Higher-order elliptic equations, Biharmonic and polyharmonic equations and functions in higher dimensions, 01 natural sciences, Harmonic, subharmonic, superharmonic functions in higher dimensions, harmonic functions

Popis súboru: application/xml

Prístupová URL adresa: https://zbmath.org/7384294
https://doi.org/10.1007/s00526-021-02023-4
https://link.springer.com/content/pdf/10.1007/s00526-021-02023-4.pdf
https://link.springer.com/article/10.1007/s00526-021-02023-4

A New Boundary Element Method for the Biharmonic Equation with Dirichlet Boundary Conditions: A new boundary element method for the biharmonic equation with Dirichlet boundary conditions

Autori: William McLean Youngmok Jeon

Zdroj: Advances in Computational Mathematics. 19:339-354

Predmety: single layer potential, Integral representations, integral operators, integral equations methods in higher dimensions, Boundary value problems for higher-order elliptic equations, biharmonic equation, Integral representations, integral operators, integral equations methods in two dimensions, Almansi representation, boundary integral equation, Boundary element methods for boundary value problems involving PDEs, 0101 mathematics, Biharmonic and polyharmonic equations and functions in higher dimensions, 01 natural sciences

Popis súboru: application/xml

Prístupová URL adresa: https://zbmath.org/1953653
https://doi.org/10.1023/a:1024206232212
https://dblp.uni-trier.de/db/journals/adcm/adcm19.html#JeonM03
https://link.springer.com/article/10.1023%2FA%3A1024206232212

Solutions of theB-polyharmonic equation: Solutions of the \(B\)-polyharmonic equation

Autori: L. N. Lyakhov A. V. Ryzhkov

Zdroj: Differential Equations. 36:1507-1511

Predmety: fundamental solution, polyharmonic functions, Boundary value problems for second-order elliptic equations, fractional derivations, polyharmonic equation, Fourier transform, Kelvin transform, 0102 computer and information sciences, 0101 mathematics, Biharmonic and polyharmonic equations and functions in higher dimensions, fractional powers, 01 natural sciences, Fourier transforms

Popis súboru: application/xml

Prístupová URL adresa: https://zbmath.org/1685224
https://doi.org/10.1007/bf02757391
https://link.springer.com/article/10.1007%2FBF02757391
https://link.springer.com/content/pdf/10.1007/BF02757391.pdf

A Sobolev inequality with remainder term and critical equations on domains with topology for the polyharmonic operator

Autori: Michel Willem Thomas Bartsch Tobias Weth

Zdroj: Calculus of Variations and Partial Differential Equations. 18:253-268

Predmety: Boundary value problems for higher-order elliptic equations, Sobolev inequality, critical manifold, Nonlinear elliptic equations, 0101 mathematics, polyharmonic operator, Biharmonic and polyharmonic equations and functions in higher dimensions, Critical exponents in context of PDEs, Higher-order elliptic equations, 01 natural sciences

Popis súboru: application/xml

Prístupová URL adresa: https://zbmath.org/2078239
https://doi.org/10.1007/s00526-003-0198-9
https://dial.uclouvain.be/pr/boreal/object/boreal:40682
https://link.springer.com/article/10.1007/s00526-003-0198-9
https://link.springer.com/10.1007/s00526-003-0198-9

Polyharmonic functions on trees

Autori: David Singman Joel M. Cohen Flavia Colonna a ďalší

Zdroj: American Journal of Mathematics. 124:999-1043

Predmety: polyharmonic functions, homogeneous tree, polymartingales, 0101 mathematics, Biharmonic and polyharmonic equations and functions in higher dimensions, Discrete potential theory, 01 natural sciences, biharmonic functions, Trees

Popis súboru: application/xml

Prístupová URL adresa: http://math.gmu.edu/~dsingman/polyharm.pdf
https://documat.unirioja.es/servlet/articulo?codigo=689992
https://dialnet.unirioja.es/servlet/articulo?codigo=689992
https://math.gmu.edu/%7Edsingman/polyharm.pdf

Estimate of the Norm of a Polyanalytic Function via the Norm of Its Polyharmonic Component: Estimate of the norm of a polyanalytic function via the norm of its polyharmonic component

Autori: A. K. Ramazanov

Zdroj: Mathematical Notes. 75:568-573

Predmety: polyharmonic function, Cauchy--Riemann equation, Riesz inequality, Generalizations of Bers and Vekua type (pseudoanalytic, \(p\)-analytic, etc.), polyanalytic function, Hardy space, 0101 mathematics, Biharmonic and polyharmonic equations and functions in higher dimensions, 01 natural sciences

Popis súboru: application/xml

Prístupová URL adresa: https://zbmath.org/2121388
https://doi.org/10.1023/b:matn.0000023338.10651.df
https://link.springer.com/article/10.1023/B%3AMATN.0000023338.10651.df

A two-surface problem for a biharmonic equation

Autori: M. A. Atakhodzhaev

Zdroj: jiip. 8:483-486

Predmety: biharmonic equation, two-surface problem, Biharmonic and polyharmonic equations and functions in higher dimensions, Boundary value and inverse problems for harmonic functions in higher dimensions

Popis súboru: application/xml

Prístupová URL adresa: https://zbmath.org/1587237
https://doi.org/10.1515/jiip.2000.8.5.483
https://www.degruyter.com/view/j/jiip.2000.8.issue-5/jiip.2000.8.5.483/jiip.2000.8.5.483.xml

High Accuracy Solution of Three-Dimensional Biharmonic Equations: High accuracy solution of three-dimensional biharmonic equations

Autori: Jocelyne Erhel Irfan Altas Murli M. Gupta

Zdroj: Numerical Algorithms. 29:1-19

Predmety: Finite difference methods for boundary value problems involving PDEs, high accuracy, Iterative numerical methods for linear systems, numerical examples, Multigrid methods, domain decomposition for boundary value problems involving PDEs, three-dimensional biharmonic equation, Error bounds for boundary value problems involving PDEs, finite differences, Numerical computation of matrix norms, conditioning, scaling, compact approximations, Symbolic computation and algebraic computation, Biharmonic and polyharmonic equations and functions in higher dimensions, 01 natural sciences, Krylov subspace method, Boundary value problems for higher-order elliptic equations, preconditioning, Packaged methods for numerical algorithms, multigrid method, symbolic algebra package, 0101 mathematics

Popis súboru: application/xml

Prístupová URL adresa: https://www.irisa.fr/sage/jocelyne/publis/2000/num-alg-2002.pdf
https://link.springer.com/article/10.1023%2FA%3A1014866618680
https://doi.org/10.1023/A:1014866618680
https://ui.adsabs.harvard.edu/abs/2002NuAlg..29....1A/abstract
https://dblp.uni-trier.de/db/journals/na/na29.html#AltasEG02
https://researchoutput.csu.edu.au/en/publications/high-accuracy-solution-of-three-dimensional-biharmonic-equations

Positive entire solutions of nonlinear polyharmonic equations in: Positive entire solutions of nonlinear polyharmonic equations in \(\mathbb R^2\).

Autori: Xu, Xingye Yang, Bicheng Debnath, Lokenath

Zdroj: Applied Mathematics and Computation. 126:377-388

Predmety: convergence theorem, polyharmonic equation, Positive entire solution, Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs, Lebesgue dominated convergence theorem, Nonlinear elliptic equations, Higher-order elliptic equations, Biharmonic and polyharmonic equations and functions in higher dimensions, 01 natural sciences, Relatively compact and equicontinuity, Lebesgue dominated, positive entire solution, relatively compact and equicontinuity, Applied, Polyharmonic equation, 0101 mathematics, Mathematics

Popis súboru: application/xml

Prístupová URL adresa: https://zbmath.org/1861027
https://doi.org/10.1016/s0096-3003(00)00169-7

A note on hyperharmonic and polyharmonic functions

Autori: Miroslav Pavlović Miroljub Jevtić

Zdroj: Journal of Mathematical Analysis and Applications. 296:276-285

Predmety: 0301 basic medicine, polyharmonic functions, 03 medical and health sciences, hyperharmonic functions, Applied Mathematics, Hyperbolically harmonic functions, Polyharmonic functions, 0101 mathematics, Hypergeometric functions, Biharmonic and polyharmonic equations and functions in higher dimensions, 01 natural sciences, Analysis

Popis súboru: application/xml

Prístupová URL adresa: https://zbmath.org/2093833
https://doi.org/10.1016/j.jmaa.2004.04.015
https://core.ac.uk/display/82285493
https://www.sciencedirect.com/science/article/pii/S0022247X04003208
https://www.sciencedirect.com/science/article/abs/pii/S0022247X04003208
http://poincare.matf.bg.ac.rs/~pavlovic/MJ14.pdf

On the Stokes system and on the biharmonic equation in the half‐space: an approach via weighted Sobolev spaces: On the Stokes system and on the biharmonic equation in the half-space: An approach via weighted Sobolev spaces

Autori: Tahar Zamène Boulmezaoud

Zdroj: Mathematical Methods in the Applied Sciences. 25:373-398

Predmety: regularity, biharmonic equation, Stokes system, existence, uniqueness, Biharmonic and polyharmonic equations and functions in higher dimensions, weighted Sobolev spaces, 01 natural sciences, Stokes and related (Oseen, etc.) flows, Boundary value problems for second-order elliptic equations, half-space, Navier-Stokes equations, 0101 mathematics, unbounded domains

Popis súboru: application/xml

Prístupová URL adresa: http://ui.adsabs.harvard.edu/abs/2002MMAS...25..373B/abstract
https://www.onlinelibrary.wiley.com/doi/abs/10.1002/mma.296

Global Representation of Harmonic and Biharmonic Functions: Global representation of harmonic and biharmonic functions

Autori: M. A. Al-Gwaiz V. Anandam

Zdroj: Potential Analysis. 6:207-214

Predmety: Harmonic, subharmonic, superharmonic functions on other spaces, unique decomposition, bisubharmonic distributions, harmonic function, Biharmonic, polyharmonic functions and equations, Poisson's equation in two dimensions, 0101 mathematics, 01 natural sciences, Harmonic, subharmonic, superharmonic functions in higher dimensions, biharmonic functions

Popis súboru: application/xml

Prístupová URL adresa: https://zbmath.org/1045344
https://doi.org/10.1023/a:1017908608650
https://link.springer.com/article/10.1023%2FA%3A1017908608650

A note on polyharmonic functions

Autori: Stevo Stević

Zdroj: Journal of Mathematical Analysis and Applications. 278:243-249

Predmety: Weight function, polyharmonic functions, weight function, weighted integral, Applied Mathematics, Polyharmonic functions, Bergman space, Distortion, distortion, 0101 mathematics, Biharmonic and polyharmonic equations and functions in higher dimensions, 01 natural sciences, Analysis

Popis súboru: application/xml

Prístupová URL adresa: https://zbmath.org/1903485
https://doi.org/10.1016/s0022-247x(02)00326-8
https://www.sciencedirect.com/science/article/pii/S0022247X02003268