Surface integral and Gauss-Ostrogradskij theorem from the viewpoint of applications |
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Authors: | Alexander ?ení?ek |
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Institution: | (1) Department of Mathematics, Technical University Brno, Technická 2, 616 69 Brno, Czech Republic |
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Abstract: | Making use of a surface integral defined without use of the partition of unity, trace theorems and the Gauss-Ostrogradskij theorem are proved in the case of three-dimensional domains with a Lipschitz-continuous boundary for functions belonging to the Sobolev spaces H
1,p
() (1 p < ). The paper is a generalization of the previous author's paper which is devoted to the line integral. |
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Keywords: | variational problems surface integral trace theorems Gauss-Ostrogradskij theorem |
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