Nonlinear Parabolic and Elliptic Equations

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.

Inhalt
1 Reaction Diffusion Equations.- 2 Parabolic Boundary-Value Problems.- 3 Elliptic Boundary-Value Problems.- 4 Equations with Nonlinear Boundary Conditions.- 5 Stability Analysis.- 6 Blowing-Up Behavior of Solutions.- 7 Parabolic and Elliptic Equations in Unbounded Domains.- 8 Coupled Systems of Reaction Diffusion Equations.- 9 Systems with Nonlinear Boundary Conditions.- 10 Stability and Asymptotic Behavior of Solutions.- 11 Asymptotic Limit and Blowing-Up Behavior of Solutions.- 12 Applications of Coupled Systems to Model Problems.- References.