Scaling in nonlinear parabolic equations: locality versus globality
نویسنده
چکیده
The Cauchy problem for parabolic equations with quadratic nonlin-earity 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.
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تاریخ انتشار 2007