Suchergebnisse - "Biharmonic and polyharmonic equations and functions in higher dimensions"

Linearized inverse problem for biharmonic operators at high frequencies

Autoren: Xiaomeng Zhao Ganghua Yuan

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

Schlagwörter: 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)

Dateibeschreibung: application/xml

Zugangs-URL: http://arxiv.org/abs/2211.02851

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

Autoren: V.V. Karachik

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

Schlagwörter: 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

Dateibeschreibung: application/xml

On a semilinear fourth order elliptic problem with asymmetric nonlinearity

Autoren: Fabiana Ferreira Everaldo S. Medeiros Wallisom Rosa

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

Schlagwörter: 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

Dateibeschreibung: application/xml

Zugangs-URL: https://zbmath.org/7658851
https://doi.org/10.12775/tmna.2022.028

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

Autoren: Wei Zhang Xi-Nan Ma

Quelle: Calculus of Variations and Partial Differential Equations. 60

Schlagwörter: 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

Dateibeschreibung: application/xml

Zugangs-URL: 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

Concentration for a biharmonic Schrödinger equation

Autoren: Dong Wang

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

Schlagwörter: 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

Dateibeschreibung: application/xml

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

Inverse boundary value problems for the perturbed polyharmonic operator

Autoren: Krupchyk, Katsiaryna Lassas, Matti Uhlmann, Gunther

Quelle: Transactions of the American Mathematical Society, vol 366, iss 1

Schlagwörter: Inverse problems for PDEs, General Mathematics, math-ph, Dirichlet-to-Neumann map, FOS: Physical sciences, 31B30, polyharmonic operator, Biharmonic and polyharmonic equations and functions in higher dimensions, 01 natural sciences, complex geometric optics, math.MP, Mathematics - Analysis of PDEs, FOS: Mathematics, 35R30, 31B20, 31B30, 35J40, 0101 mathematics, Boundary value and inverse problems for harmonic functions in higher dimensions, math.AP, Mathematical Physics, Applied Mathematics, uniqueness, Mathematical Physics (math-ph), 31B20, 35J40, Pure Mathematics, 35R30, Boundary value problems for higher-order elliptic equations, inverse boundary value problem, Analysis of PDEs (math.AP)

Dateibeschreibung: application/xml; application/pdf

Zugangs-URL: http://arxiv.org/abs/1102.5542
https://www.ams.org/journals/tran/2014-366-01/S0002-9947-2013-05713-3/
https://www.math.washington.edu/~gunther/publications/Papers/biharmonictransactions.pdf
https://www.ams.org/tran/2014-366-01/S0002-9947-2013-05713-3/S0002-9947-2013-05713-3.pdf
https://dialnet.unirioja.es/servlet/articulo?codigo=4606641
https://escholarship.org/content/qt92h4x578/qt92h4x578.pdf?t=om6wk1
https://escholarship.org/uc/item/92h4x578.pdf
https://escholarship.org/uc/item/92h4x578

On one representation of analytic functions by harmonic functions

Autoren: Karachik V.V.

Quelle: Siberian Advances in Mathematics. 18:103-117

Schlagwörter: polyharmonic function, polynomial, Almansi's formula, 0101 mathematics, Biharmonic and polyharmonic equations and functions in higher dimensions, 01 natural sciences, analytic function

Dateibeschreibung: application/xml; application/pdf

Zugangs-URL: https://zbmath.org/6007993
https://doi.org/10.3103/s1055134408020041
https://link.springer.com/content/pdf/10.3103%2FS1055134408020041.pdf
http://www.springerlink.com/index/10.3103/S1055134408020041
https://link.springer.com/article/10.3103/S1055134408020041
http://dspace.susu.ru/handle/0001.74/20662

Cardinal interpolation with polysplines on annuli

Autoren: Ognyan Kounchev Hermann Render

Quelle: Dialnet CRIS Repositorio institucional de la Universidad de La Rioja
instname

Schlagwörter: Mathematics(all), Numerical Analysis, cardinal spline interpolation, Applied Mathematics, Polyharmonic functions in annulus, Cardinal splines, Polysplines, Biharmonic and polyharmonic equations and functions in higher dimensions, 01 natural sciences, L-splines, polyharmonic functions in annulus, Spline approximation, Biharmonic functions, Schoenberg interpolation theorems, 0101 mathematics, Spherical harmonics, Cardinal spline interpolation, Analysis

Dateibeschreibung: application/pdf; application/xml

Zugangs-URL: https://ur.portalcientifico.es/documentos/5bbc68e9b750603269e81198
https://www.sciencedirect.com/science/article/pii/S0021904505001437
http://www.math.bas.bg/~kounchev/Papers_pdf/2005JAT03-0231_rev2.pdf
https://dialnet.unirioja.es/servlet/articulo?codigo=1338518
https://core.ac.uk/display/82240378
https://dblp.uni-trier.de/db/journals/jat/jat137.html#KounchevR05
https://doi.org/10.1016/j.jat.2005.08.003

The Brunn?Minkowski Inequality for the n-dimensional Logarithmic Capacity of Convex Bodies: The Brunn-Minkowski inequality for the \(n\)-dimensional logarithmic capacity of convex bodies

Autoren: Andrea Colesanti Paola Cuoghi

Quelle: Potential Analysis. 22:289-304

Schlagwörter: Potentials and capacities on other spaces, 0101 mathematics, Convex sets in \(n\) dimensions (including convex hypersurfaces), Biharmonic and polyharmonic equations and functions in higher dimensions, logarithmic capacity, 01 natural sciences, Brunn-Minkowski inequality, convex body

Dateibeschreibung: application/xml

Zugangs-URL: https://zbmath.org/2162297
https://doi.org/10.1007/s11118-004-1326-7
https://rd.springer.com/article/10.1007/s11118-004-1326-7
https://link.springer.com/article/10.1007/s11118-004-1326-7

A note on hyperharmonic and polyharmonic functions

Autoren: Miroslav Pavlović Miroljub Jevtić

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

Schlagwörter: 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

Dateibeschreibung: application/xml

Zugangs-URL: 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

Distributions and measures on the boundary of a tree

Autoren: Flavia Colonna Joel M. Cohen David Singman

Quelle: Journal of Mathematical Analysis and Applications. 293:89-107

Schlagwörter: Distributions and ultradistributions as boundary values of analytic functions, space of measures, ultrametric spaces, Applied Mathematics, Spaces of measures, convergence of measures, boundary behavior of polyharmonic functions, Measures, Biharmonic and polyharmonic equations and functions in higher dimensions, 01 natural sciences, Trees, space of distributions, Distributions, 0101 mathematics, Boundary behavior of harmonic functions in higher dimensions, Analysis

Dateibeschreibung: application/xml

Zugangs-URL: https://zbmath.org/2082131
https://doi.org/10.1016/j.jmaa.2003.12.015
https://core.ac.uk/display/81145133
http://math.gmu.edu/%7Edsingman/measure.pdf
http://www.sciencedirect.com/science/article/pii/S0022247X04000241
https://www.sciencedirect.com/science/article/pii/S0022247X04000241

An approach to spectral problems on Riemannian manifolds

Autoren: Isaac Z. Pesenson

Quelle: Pacific Journal of Mathematics. 215:183-199

Schlagwörter: Mathematics - Functional Analysis, polyharmonic function, Potential theory on Riemannian manifolds and other spaces, Laplace-Beltrami operator, Spectral problems, spectral geometry, scattering theory on manifolds, eigenvalues, FOS: Mathematics, General topics in linear spectral theory for PDEs, 0101 mathematics, Biharmonic and polyharmonic equations and functions in higher dimensions, 01 natural sciences, Functional Analysis (math.FA)

Dateibeschreibung: application/xml

Zugangs-URL: http://arxiv.org/pdf/1403.4983
http://arxiv.org/abs/1403.4983
https://dialnet.unirioja.es/servlet/articulo?codigo=2143629
http://ui.adsabs.harvard.edu/abs/2014arXiv1403.4983P/abstract
https://www.arxiv-vanity.com/papers/1403.4983/
https://arxiv.org/pdf/1403.4983

On higher order Bessel potentials

Autoren: A. S. Abdel-Rady H. Begehr

Quelle: Archiv der Mathematik. 82:361-370

Schlagwörter: recurrence relations, Bessel potential, polyharmonic equation, 0101 mathematics, Biharmonic and polyharmonic equations and functions in higher dimensions, Higher-order elliptic equations, 01 natural sciences, Potentials and capacities, extremal length and related notions in higher dimensions

Dateibeschreibung: application/xml

Zugangs-URL: https://link.springer.com/article/10.1007%2Fs00013-003-0103-y

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

Autoren: Imed Bachar Malek Zribi Habib Mâagli

Quelle: manuscripta mathematica. 113:269-291

Schlagwörter: 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

Dateibeschreibung: application/xml

Zugangs-URL: 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

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

Autoren: A. K. Ramazanov

Quelle: Mathematical Notes. 75:568-573

Schlagwörter: 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

Dateibeschreibung: application/xml

Zugangs-URL: 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

Biharmonic problem in exterior domains: Biharmonic problem in exterior domains.

Autoren: Mathieu Fontes Chérif Amrouche

Quelle: Comptes Rendus. Mathématique. 338:121-126

Schlagwörter: regularity, Boundary value problems for higher-order elliptic equations, biharmonic equation, Smoothness and regularity of solutions to PDEs, existence, uniqueness, 0101 mathematics, Biharmonic and polyharmonic equations and functions in higher dimensions, 01 natural sciences, Dirichlet problem

Dateibeschreibung: application/xml

Zugangs-URL: https://zbmath.org/2057072
https://doi.org/10.1016/j.crma.2003.10.026
https://www.sciencedirect.com/science/article/abs/pii/S1631073X03004813
https://www.sciencedirect.com/science/article/pii/S1631073X03004813

Normalized system of functions with respect to the Laplace operator and its applications: Normalized system of functions with respect to the Laplace operator and its applications.

Autoren: Valery Karachik

Quelle: Journal of Mathematical Analysis and Applications. 287:577-592

Schlagwörter: polyharmonic functions, Applied Mathematics, Polyharmonic functions, Helmholtz equation, Systems of elliptic equations, boundary value problems, 0101 mathematics, normalized systems, Biharmonic and polyharmonic equations and functions in higher dimensions, 01 natural sciences, Analysis

Dateibeschreibung: application/xml

Zugangs-URL: https://zbmath.org/2022078
https://doi.org/10.1016/s0022-247x(03)00583-3
https://www.sciencedirect.com/science/article/pii/S0022247X03005833

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

Autoren: William McLean Youngmok Jeon

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

Schlagwörter: 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

Dateibeschreibung: application/xml

Zugangs-URL: 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

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

Autoren: Michel Willem Thomas Bartsch Tobias Weth

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

Schlagwörter: 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

Dateibeschreibung: application/xml

Zugangs-URL: 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

The approximation order of polysplines

Autoren: Kounchev, Ognyan Render, Hermann

Quelle: Proceedings of the American Mathematical Society. 132:455-461

Schlagwörter: approximation order, Cardinal polysplines, Cardinal L-splines, Polyharmonic functions, Cardinal splines, Polysplines, Biharmonic and polyharmonic equations and functions in higher dimensions, 01 natural sciences, polyharmonic functions, Spline approximation, Approximation order of splines, Boundary value problems for higher-order elliptic equations, polysplines, 0101 mathematics

Dateibeschreibung: application/xml; application/pdf

Zugangs-URL: https://www.ams.org/proc/2004-132-02/S0002-9939-03-07069-2/S0002-9939-03-07069-2.pdf
https://researchrepository.ucd.ie/bitstream/10197/5519/1/appordb_Galley_Latex.pdf
https://www.ams.org/journals/proc/2004-132-02/S0002-9939-03-07069-2/home.html
https://www.jstor.org/stable/1194075
https://www.ams.org/proc/2004-132-02/S0002-9939-03-07069-2/S0002-9939-03-07069-2.pdf
http://researchrepository.ucd.ie/handle/10197/5519
http://hdl.handle.net/10197/5519