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The Oblique Derivative Problem for the Laplace Equation in a Plain Domain

✍ Scribed by Dagmar Medková


Publisher
SP Birkhäuser Verlag Basel
Year
2004
Tongue
English
Weight
418 KB
Volume
48
Category
Article
ISSN
0378-620X

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A nonlinear oblique derivative boundary
✍ Luis A Caffarelli; Jean-Michel Roquejoffre 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 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