Scaling in nonlinear parabolic equations
The Cauchy problem for parabolic equations with quadratic nonlinearity is studied. We investigate the existence of global-in-time solutions and their large-time behavior assuming some scaling property of the equation as well as of the norm of the Banach space in which the solutions are constructed. Some applications of these abstract results are indicated.
scientific article; zbMATH DE number 1334725
scientific article