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Variational principle for general diffusion problems - MaRDI portal

Variational principle for general diffusion problems (Q1763070)

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scientific article; zbMATH DE number 2135338
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English
Variational principle for general diffusion problems
scientific article; zbMATH DE number 2135338

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    Variational principle for general diffusion problems (English)
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    21 February 2005
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    The authors study the existence of weak solutions for a class of nonhomogeneous parabolic equations of Fokker-Plank type having time dependent nonlinear diffusion term and drift coefficient, and with Neumann type boundary conditions. The weak solutions are constructed (approximated) by using a variational principle expressed in terms of the Wasserstein distance. A needed maximum principle for the equations under consideration is previously established.
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    equations of Fokker-Plank type
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    Neumann type boundary conditions
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    Wasserstein distance
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    maximum principle
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