Progress in Evolution Equations

by N'Guerekata, Gaston M.

• ISBN13: 9781604563283
• ISBN10: 1604563281
• Format: Hardcover
• Copyright: 2009-01-30
• Publisher: Nova Science Pub Inc

Summary

This book presents new research from around the world on the theory and methods of linear and non-linear evolution equations as well as their further applications. It includes the asymptotic behaviour of solutions to evolution equations. Other non-linear differential equations and applications to natural sciences are also included.

Table of Contents

Entropy Solutions of Nonlinear Elliptic-Parabolic-Hyperbolic Degenerate Problems in One Dimension	p. 1
Comparison Principle for a Class of Coupled Systems of Fully Nonlinear Parabolic Equations under Nonlocal Boundary Conditions	p. 19
Information Complexity of Evolutionary Dynamics	p. 27
On Modified Lagrange Multiplier Rule and its Application to the Regularity of Magnetic Flux Function in Nuclear Fusion	p. 65
Decay of Solutions of a Nonlinear BBM-Burgers System	p. 91
Variational Hyperbolic Inequality in the Domains Unbounded in Spatial Variables	p. 103
Global Existence and Blowup to a Reaction-diffusion System with Gradient Term	p. 125
The Representation of Exact Solution of the Compound Burgers-Korteweg-de Vries Equation	p. 135
Critical Curves for a Degenerate Parabolic System with Nonlinear Boundary Conditions	p. 149
Positive Solutions for p-Laplacian Dynamic Delay Differential Equations on Time Scales	p. 159
Levinson Theorem for 2 x 2 System and Applications to the Asymptotic Stability and Schrodinger Equation	p. 183
Exact Solutions and Conservation Laws for Ibragimov-Shabat Equation which Describe Pseudo-spherical Surface	p. 207
Index	p. 219
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