Prospects for a central theory of partial differential equations

DOI10.1007/BF02985839zbMath1090.35011MaRDI QIDQ2574459

John W. Neuberger

Publication date: 21 November 2005

Published in: The Mathematical Intelligencer (Search for Journal in Brave)

zbMATH Keywords

Sobolev gradientsself-duality of Sobolev spaces

Mathematics Subject Classification ID

Variational methods applied to PDEs (35A15) Research exposition (monographs, survey articles) pertaining to partial differential equations (35-02)

Related Items (3)

Operator preconditioning with efficient applications for nonlinear elliptic problems ⋮ The order completion method for systems of nonlinear PDEs: pseudo-topological perspectives ⋮ The order completion method for systems of nonlinear PDEs revisited

Cites Work

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• Asymptotics for a class of non-linear evolution equations, with applications to geometric problems
• Convergence to steady states in asymptotically autonomous semilinear evolution equations.
• Energy minimization using Sobolev gradients: application to phase separation and ordering.
• ON THE MAXIMUM PRINCIPLE FOR GENERALIZED SOLUTIONS TO THE TRICOMI PROBLEM
• Sobolev gradients and differential equations
• Continuous Newton's method for polynomials.
• Convergence in gradient-like systems which are asymptotically autonomous and analytic

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