Second Order Parabolic Differential Equations

Released on by Gary M. Lieberman
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  • Second Order Parabolic Differential Equations Book Detail

  • Author : Gary M. Lieberman
  • Release Date : 1996
  • Publisher : World Scientific
  • Genre : Mathematics
  • Pages : 472
  • ISBN 13 : 9789810228835
  • File Size : 95,95 MB
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Second Order Parabolic Differential Equations by Gary M. Lieberman PDF Summary

Book Description: Introduction. Maximum principles. Introduction to the theory of weak solutions. Hölder estimates. Existence, uniqueness, and regularity of solutions. Further theory of weak solutions. Strong solutions. Fixed point theorems and their applications. Comparison and maximum principles. Boundary gradient estimates. Global and local gradient bounds. Hölder gradient estimates and existence theorems. The oblique derivative problem for quasilinear parabolic equations. Fully nonlinear equations. Introduction. Monge-Ampère and Hessian equations.

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Nonlinear Second Order Parabolic Equations

Nonlinear Second Order Parabolic Equations

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The parabolic partial differential equations model one of the most important processes in the real-world: diffusion. Whether it is the diffusion of energy in sp