TY - BOOK AU - Giga, Mi-Ho AU - Giga, Yoshikazu AU - Saal, Jurgen TI - Nonlinear partial differential equations: asymptotic behavior of solutions and self-similar solutions SN - 9780817641733 U1 - 515.353 PY - 2010/// CY - Boston PB - Birkhäuser KW - Differential equations KW - Functional analysis KW - Mathematics N1 - 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 ER -