Keyword

Neumann problem

Description: A boundary-value problem for a differential equation in which the normal derivative of the solution is specified along the domain boundary.

Primary topic: Differential Equations and Boundary Problems (24%)

Wikidata ID: wiki/Q1149279

OpenAlex ID: keywords/neumann-problem

Elliptic Partial Differential Equations of Second Order

2001 · David Gilbarg, Neil S. Trudinger · Classics in mathematics · 18,591

Optimal Control of Systems Governed by Partial Differential Equations.

1972 · D. L. Russell, J. L. Lions, et al. · American Mathematical Monthly · 2,922

Problèmes aux limites non homogènes et applications

1968 · Enrico Magenes, Jacques Louis Lions · Medical Entomology and Zoology · 2,699

Rapid solution of integral equations of classical potential theory

1985 · V Rokhlin · Journal of Computational Physics · 1,414

Partial Differential Equations

1964 · P. R. Garabedian · CERN Document Server (European Organization for Nuclear Research) · 969

Lectures on Elliptic Boundary Value Problems.

1966 · A. Friedman, Shmuel Agmon · American Mathematical Monthly · 968

Boundedness in the Higher-Dimensional Parabolic-Parabolic Chemotaxis System with Logistic Source

2010 · Michael Winkler · Communications in Partial Differential Equations · 817

Theta functions and non-linear equations

1981 · B A Dubrovin · Russian Mathematical Surveys · 686

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The Neumann problem for the Cauchy-Riemann complex

1972 · Gerald B. Folland, J. J. Kohn · Medical Entomology and Zoology · 601

A mixed multiscale finite element method for elliptic problems with oscillating coefficients

2002 · Zhiming Chen, Thomas Hou · Mathematics of Computation · 491

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Partial Differential Equations in Several Complex Variables

2001 · So-Chin Chen, Mei-Chi Shaw · AMS/IP studies in advanced mathematics · 450

Variational Methods in Shape Optimization Problems

2005 · Dorin Bucur, Giuseppe Buttazzo · Progress in nonlinear differential equations and their applications · 419

Spectral Problems Associated with Corner Singularities of Solutions to Elliptic Equations

2000 · V. Kozlov, V. Maz’ya, et al. · Mathematical surveys and monographs · 397

The Neumann problem on Lipschitz domains

1981 · David S. Jerison, Carlos E. Kenig · Bulletin of the American Mathematical Society · 319

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Examples of Bernstein problems for some nonlinear equations

1970 · Eugenio Calabi · Proceedings of symposia in pure mathematics · 298

Asymptotic behavior for nonlocal diffusion equations

2006 · Emmanuel Chasseigne, Manuela Chaves, et al. · Journal de Mathématiques Pures et Appliquées · 291

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A nonreflecting plane boundary for wave propagation problems

1974 · Warwick D Smith · Journal of Computational Physics · 284

Sobolev Spaces on Domains

1998 · Victor I. Burenkov · Teubner-Texte zur Mathematik · 276

The Cauchy Transform, Potential Theory and Conformal Mapping

2015 · Steven R. Bell · Chapman & Hall/CRC eBooks · 263

Hardy Spaces and the Neumann Problem in L p for Laplace's Equation in Lipschitz Domains

1987 · Bjorn E. J. Dahlberg, Carlos E. Kenig · Annals of Mathematics · 262

Boundary Integral Equations for the Three-Dimensional Helmholtz Equation

1974 · R. E. Kleinman, G. F. Roach · SIAM Review · 252

Global solutions in a fully parabolic chemotaxis system with singular sensitivity

2010 · Michael Winkler · Mathematical Methods in the Applied Sciences · 246

Multiscale convergence and reiterated homogenisation

1996 · G. Allaire, M. Briane · Proceedings of the Royal Society of Edinburgh Section A Mathematics · 241

Neumann problems of semilinear elliptic equations involving critical Sobolev exponents

1991 · Xu-Jia Wang · Journal of Differential Equations · 241

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Elliptic Equations in Polyhedral Domains

2010 · Vladimir Maz′ya, Jürgen Rossmann · Mathematical surveys and monographs · 234

Works count: 5,132

Citation count: 77,450