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The Cauchy problem for a class of quasilinear parabolic equations

โœ Scribed by Alkis S. Tersenov; Aris S. Tersenov

Publisher
Springer
Year
2003
Tongue
English
Weight
205 KB
Volume
182
Category
Article
ISSN
0373-3114

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๐Ÿ“œ SIMILAR VOLUMES

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โœ V.A. Galaktionov ๐Ÿ“‚ Article ๐Ÿ“… 1983 ๐Ÿ› Elsevier Science โš– 850 KB

sufficient conditions are found for global unsolvability of the Cauchy problem for parabolic equations of the non-linear heat conduction type with a source. In the case of equations of a special kind, the class of initial functions is isolated, with which the Cauchy problem is globally solvable.

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โœ Aris S. Tersenov ๐Ÿ“‚ Article ๐Ÿ“… 2001 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 81 KB

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