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- W2950858435 abstract "We prove the global strong solvability of a quasilinear initial-boundary value problem with fractional time derivative of order less than one. Such problems arise in mathematical physics in the context of anomalous diffusion and the modelling of dynamic processes in materials with memory. The proof relies heavily on a regularity result about the interior Holder continuity of weak solutions to time fractional diffusion equations, which has been proved recently by the author. We further establish a basic $L_2$ decay estimate for the special case with vanishing external source term and homogeneous Dirichlet boundary condition." @default.
- W2950858435 created "2019-06-27" @default.
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- W2950858435 date "2011-06-03" @default.
- W2950858435 modified "2023-09-27" @default.
- W2950858435 title "Global strong solvability of a quasilinear subdiffusion problem" @default.
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- W2950858435 hasPublicationYear "2011" @default.
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