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Description: |
The sharp regularity of weak solutions to the porous medium equation is a long-standing open problem. The fundamental solution of the problem, the so called Barenblatt solution, is known to be C^{1/(m-1)}-Hölder continuous, and it is a natural question whether this is the worst possible behavior. A counter-example by Aronson and Graveleau, however, suggests that this is not the case - leaving the question wide open. Known results by Gilding and Ivanov provide a tight link between the Hölder-regularity and gradient estimates for the solutions. In this talk, I will present some new results concerning the topic. The talk is based on a joint work with Ugo Gianazza.
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Date: |
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| Start Time: |
14:30 |
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Speaker: |
Juhana Siljander (Univ. Jyväskylä, Finland)
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Institution: |
University of Jyväskylä, Finland
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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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