Pao C.V. Nonlinear Parabolic and Elliptic Equations

New York: Plenum Press, 1992. — 785 p. — ISBN: 0-306-44343-0.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.Reaction Diffusion Equations
Parabolic Boundary-Value Problems
Elliptic Boundary-Value Problems
Equations with Nonlinear Boundary Conditions
Stability Analysis
Blowing-Up Behavior of Solutions
Parabolic and Elliptic Equations in Unbounded Domains
Coupled Systems of Reaction Diffusion Equations
Systems with Nonlinear Boundary Conditions
Stability and Asymptotic Behavior of Solutions
Asymptotic Limit and Blowing-Up Behavior of Solutions
Applications of Coupled Systems to Model Problems