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A boundary-value problem for parabolic equations with general nonlocal conditions

✍ Scribed by N. M. Zadorozhna


Publisher
Springer US
Year
1996
Tongue
English
Weight
257 KB
Volume
81
Category
Article
ISSN
1573-8795

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Quasi-linear boundary value problems wit
✍ Alejandro VΓ©lez-Santiago πŸ“‚ Article πŸ“… 2011 πŸ› Elsevier Science 🌐 English βš– 371 KB

We investigate a quasi-linear boundary value problem of the form -div(Ξ±|βˆ‡u| p-2 βˆ‡u) = 0 involving a general boundary map and mixed Neumann boundary conditions on a bounded Lipschitz domain. We show existence, uniqueness, and HΓΆlder continuity of the weak solution of this mixed boundary value problem