Local existence for parabolic problems with fully nonlinear boundary condition; an \(L_ p\)-approach (Q1191388)
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scientific article; zbMATH DE number 59861
| Language | Label | Description | Also known as |
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| English | Local existence for parabolic problems with fully nonlinear boundary condition; an \(L_ p\)-approach |
scientific article; zbMATH DE number 59861 |
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Local existence for parabolic problems with fully nonlinear boundary condition; an \(L_ p\)-approach (English)
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27 September 1992
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The author proves a local (in time) existence theorem assuming certain, natural compatibility conditions hold and also a global uniqueness theorem for a general nonlinear, second-order, parabolic equation satisfying general, nonlinear boundary conditions. The hypotheses and proofs in the paper are quite technical and a priori estimates play a large role; nevertheless, the approach is natural. The final section is devoted to a discussion of the situation with systems.
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global uniqueness theorem
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