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The cauchy problem for a quasilinear degenerate parabolic system

โœ Scribed by Hongjun Yuan


Publisher
Elsevier Science
Year
1994
Tongue
English
Weight
459 KB
Volume
23
Category
Article
ISSN
0362-546X

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## Abstract We study the Cauchy problem for a class of quasilinear hyperbolic systems with coefficients depending on (__t__, __x__) โˆˆ [0, __T__ ] ร— โ„^__n__^ and presenting a linear growth for |__x__ | โ†’ โˆž. We prove wellโ€posedness in the Schwartz space __๐’ฎ__ (โ„^__n__^ ). The result is obtained by d

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The present paper is concerned with the global solvability of the Cauchy problem for the quasilinear parabolic equations with two independent variables: ลฝ . ลฝ . 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