Nonlinear partial differential equations: asymptotic behavior of solutions and self-similar solutions/
Mi-Ho Giga, Yoshikazu Giga and Jurgen Saal
- Boston: Birkhäuser, 2010.
- xviii, 294 p. : ill. ; 25 cm.
- (Progress in nonlinear differential equations and their applications), v. 79 .
pt. 1. Asymptotic behavior of solutions of partial differential equations. Behavior near time infinity of solutions of the heat equation -- Behavior near time infinity of solutions of the vorticity equations -- Self-similar solutions for various equations -- pt. 2. Useful analytic tools. Various properties of solutions of the heat equation -- Compactness theorems -- Calculus inequalities -- Convergence theorems in the theory of integration.