On existence of a harmonic variational flow subjected to two-sided conditions (Q1129800)
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scientific article; zbMATH DE number 1193425
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On existence of a harmonic variational flow subjected to two-sided conditions |
scientific article; zbMATH DE number 1193425 |
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On existence of a harmonic variational flow subjected to two-sided conditions (English)
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19 April 1999
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The aim of the paper is to construct weak solutions to parabolic systems of the variational flow type associated with a quadratic functional. The initial and boundary data are assumed to belong to some Sobolev space. The crucial point is a Hölder estimate up to the boundary. It is derived by combining Rothe's method with the direct method in the calculus of variations.
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Hölder estimate up to the boundary
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Rothe's method
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quadratic functional
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