Noncharacteristic Cauchy problems for parabolic equations are frequently encountered in many areas of heat transfer. These problems are well known to be severely ill-posed. In this paper a solvability criterion for a class of such problems is established. It is proved that a weak solution of a nonch
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Classical solvability of linear parabolic equations on networks
β Scribed by Joachim von Below
- Publisher
- Elsevier Science
- Year
- 1988
- Tongue
- English
- Weight
- 720 KB
- Volume
- 72
- Category
- Article
- ISSN
- 0022-0396
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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: 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