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Applications of Functional Analysis to Partial Differential Equations

  • Joël ChaskalovicEmail author
Chapter
  • 2.8k Downloads
Part of the Mathematical Engineering book series (MATHENGIN)

Abstract

The classic example used to illustrate the basic problems raised by the mathematical analysis of partial differential equations (PDEs) concerns the mechanics of deformable solids, and in particular a homogeneous and isotropic elastic membrane occupying a region \(\Omega \) in the plane \((O,\mathbf {x},\mathbf {y})\).

Keywords

Partial Differential Equations Weak Derivatives Trace Theorem Hadamard Well-posedness Regular Distribution 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer International Publishing Switzerland 2014

Authors and Affiliations

  1. 1.Institut Jean le Rond d’Alembert, University Pierre and Marie CurieParisFrance

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