Doubly nonlinear parabolic equations with variable exponents of nonlinearity
We investigate a mixed problem for a class of parabolic-type equations with double nonlinearity and minor terms that do not degenerate and whose indexes of nonlinearity are functions of spatial variables. These problems are considered in the generalized Lebesgue and Sobolev spaces. We obtain conditi...
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| Date: | 2011 |
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| Main Authors: | , , , |
| Format: | Article |
| Language: | Ukrainian English |
| Published: |
Institute of Mathematics, NAS of Ukraine
2011
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| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/2747 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
| Download file: |  |
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Ukrains’kyi Matematychnyi Zhurnal| Summary: | We investigate a mixed problem for a class of parabolic-type equations with double nonlinearity and minor
terms that do not degenerate and whose indexes of nonlinearity are functions of spatial variables. These
problems are considered in the generalized Lebesgue and Sobolev spaces. We obtain conditions for the
existence of the generalized solution of this problem by using the Galerkin method. |
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