| Publication type: |
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Preprint, Working Paper, ... |
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| Subject: |
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Mathematics/Analysis of PDEs
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| Title: |
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On the strong convergence of the gradient in nonlinear parabolic equations |
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| Author(s): |
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Michel Pierre ( ) 1, Julien Vovelle ( ) 2 |
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| Laboratory: |
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| Abstract: |
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We consider the Cauchy-Dirichlet Problem for a nonlinear parabolic equation with L1 data. We show how the concept of kinetic formulation for conservation laws [Lions, Perthame, Tamor 94] can be be used to give a new proof of the existence of renormalized solutions. To illustrate this approach, we also extend the method to the case where the equation involves an additional gradient term. |
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| Fulltext language: |
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English |
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| Production date: |
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2011-03-14 |
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