Paper Title:

Global Existence and Uniqueness of Solution to a Nonlinear Parabolic Equation

Author(s):

Alexander G. Ramm

Mathematics Department, Kansas State University,
Manhattan, KS 66506-2602,
USA.
E-mail: ramm@ksu.edu

Abstract:

Consider the equation

where . Assume that u⁰ is a smooth and rapidly decaying function belonging to a Banach space X.
It is proved that problem (1) has a global solution and this solution u∈ X.

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