Existence of solutions for second-order evolution inclusions (Q1346198)
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scientific article; zbMATH DE number 735699
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Existence of solutions for second-order evolution inclusions |
scientific article; zbMATH DE number 735699 |
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Existence of solutions for second-order evolution inclusions (English)
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27 August 1995
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The paper deals with the existence of solutions for second order nonlinear evolution inclusions and completes the results of an earlier paper by the author [Proc. Edinb. Math. Soc., II. Ser. 35, 139-158 (1992; Zbl 0758.34050)]. In this paper the author considers two cases, one in which the orientor field is convex valued and the other in which it is nonconvex valued. As an application of the abstract results an example of a hyperbolic partial differential inclusion is given.
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monotone operator
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Sobolev spaces
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existence
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second order nonlinear evolution inclusions
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orientor field
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hyperbolic partial differential inclusion
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