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Boundary-value problems for the heat equation with a time derivative in the matching conditions

โœ Scribed by L. P. Nizhnik; L. A. Taraborkin


Book ID
112478468
Publisher
Springer
Year
1982
Tongue
English
Weight
335 KB
Volume
34
Category
Article
ISSN
0041-5995

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A nonlinear oblique derivative boundary
โœ Luis A Caffarelli; Jean-Michel Roquejoffre ๐Ÿ“‚ Article ๐Ÿ“… 2002 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 288 KB

The problem under investigation is the heat equation in the upper half-plane, to which the diffusion in the longitudinal direction has been suppressed, and augmented with a nonlinear oblique derivative condition. This paper proves global existence and qualitative properties to the Cauchy problem for