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On the global unsolvability of cauchy problems for quasilinear parabolic equations

✍ Scribed by V.A. Galaktionov

Publisher
Elsevier Science
Year
1983
Weight
850 KB
Volume
23
Category
Article
ISSN
0041-5553

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✦ Synopsis

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.

πŸ“œ SIMILAR VOLUMES

A Remark on the Global Solvability of th
A Remark on the Global Solvability of the Cauchy Problem for Quasilinear Parabolic Equations
✍ Aris S. Tersenov πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 81 KB

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