Nonlinear Parabolic and Elliptic Equations

✍ Scribed by C. V. Pao (auth.)

• Publisher: Springer US
• Year: 1993
• Tongue: English
• Leaves: 785
• Edition: 1
• Category: Library

✦ Synopsis

In response to the growing use of reaction diffusion problems in many fields, this monograph gives a systematic treatment of a class of nonlinear parabolic and elliptic differential equations and their applications these problems. It is an important reference for mathematicians and engineers, as well as a practical text for graduate students.

✦ Table of Contents

Front Matter....Pages i-xv
Reaction Diffusion Equations....Pages 1-46
Parabolic Boundary-Value Problems....Pages 47-92
Elliptic Boundary-Value Problems....Pages 93-138
Equations with Nonlinear Boundary Conditions....Pages 139-181
Stability Analysis....Pages 183-227
Blowing-Up Behavior of Solutions....Pages 229-288
Parabolic and Elliptic Equations in Unbounded Domains....Pages 289-380
Coupled Systems of Reaction Diffusion Equations....Pages 381-458
Systems with Nonlinear Boundary Conditions....Pages 459-509
Stability and Asymptotic Behavior of Solutions....Pages 511-568
Asymptotic Limit and Blowing-Up Behavior of Solutions....Pages 569-619
Applications of Coupled Systems to Model Problems....Pages 621-746
Back Matter....Pages 747-777

✦ Subjects

Analysis