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A Remark on the Global Solvability of the Cauchy Problem for Quasilinear Parabolic Equations

✍ Scribed by Aris S. Tersenov

Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
81 KB
Volume
260
Category
Article
ISSN
0022-247X

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✦ Synopsis

The present paper is concerned with the global solvability of the Cauchy problem for the quasilinear parabolic equations with two independent variables: Ε½ . Ε½ . u s a t, x, u, u u q f t, x, u, u . We investigate the case of the arbitrary order

< < of growth of the function f t, x, u, p with respect to p when p Βͺ qΟ±. Conditions which guarantee the global classical solvability of the problem are given.

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