Evolution equations of von Karman type [electronic resource]

• 作者： Cherrier, Pascal.
• 其他作者：
  • Milani, Albert.
  • SpringerLink (Online service)
• 其他題名：
  • Lecture Notes of the Unione Matematica Italiana,
• 出版： Cham : Springer International Publishing :Imprint: Springer
• 叢書名： Lecture Notes of the Unione Matematica Italiana,17
• 主題： Von Karman equations. , Evolution equations , Mathematics , Partial Differential Equations. , Mathematical Methods in Physics. , Differential Geometry.
• ISBN： 9783319209975 (electronic bk.) 、 9783319209968 (paper)
• FIND@SFXID: CGU
• 資料類型: 電子書
• More
• 摘要註: In these notes we consider two kinds of nonlinear evolution problems of von Karman type on Euclidean spaces of arbitrary even dimension. Each of these problems consists of a system that results from the coupling of two highly nonlinear partial differential equations, one hyperbolic or parabolic and the other elliptic. These systems take their name from a formal analogy with the von Karman equations in the theory of elasticity in two dimensional space. We establish local (respectively global) results for strong (resp., weak) solutions of these problems and corresponding well-posedness results in the Hadamard sense. Results are found by obtaining regularity estimates on solutions which are limits of a suitable Galerkin approximation scheme. The book is intended as a pedagogical introduction to a number of meaningful application of classical methods in nonlinear Partial Differential Equations of Evolution. The material is self-contained and most proofs are given in full detail. The interested reader will gain a deeper insight into the power of nontrivial a priori estimate methods in the qualitative study of nonlinear differential equations.
• 讀者標籤：

  需登入
• 引用連結：

  Copy Link
• 目前引用數
• Share: