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Regularity for some doubly nonlinear evolutionary equations in measure spaces
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Description: |
We will consider the regularity question for the nonnegative weak solutions of certain doubly nonlinear parabolic equations falling into a very large and important class of equations, namely the class of degenerate and singular equations. These type of evolutionary equations appear in the modeling of turbulent filtration of non-Newtonian fluids through a porous media. We will consider the equation
$$\frac{\partial (u^{q})}{\partial t}-\div{(|\nabla u|^{p-2}\nabla u)}=0, 02.$$
We will show that the nonnegative weak solutions are locally H\"older continuous in measure spaces assuming only the measure to be a doubling non-trivial Borel measure supporting a Poincaré inequality.
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Date: |
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| Start Time: |
14:30 |
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Speaker: |
Rojbin Laleoglu (CM, Univ. Trás-os-Montes e Alto Douro)
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Institution: |
CM, Universidade de Trás-os-Montes e Alto Douro
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Place: |
Sala 5.5
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| Research Groups: |
-Analysis
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See more:
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<Main>
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One register found.1
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