The regularity of solutions of reaction-diffusion equations via Lagrangian coordinates

DOI10.1007/BF01193831zbMath0861.35042OpenAlexW2014552789MaRDI QIDQ1817351

Sergei I. Shmarev, Juan Luis Vazquez

Publication date: 4 May 1997

Published in: NoDEA. Nonlinear Differential Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01193831

zbMATH Keywords

\(C^ 1\) regularity of moving interfacesnon-standard Lagrangian formulation

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Reaction-diffusion equations (35K57) A priori estimates in context of PDEs (35B45) Geometric theory, characteristics, transformations in context of PDEs (35A30)

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Numerical study of the porous medium equation with absorption, variable exponents of nonlinearity and free boundary ⋮ From classical to discrete gravity through exponential non-standard Lagrangians in general relativity ⋮ Interfaces in diffusion-absorption processes in nonhomogeneous media ⋮ Existence and multiplicity of segregated solutions to a cell-growth contact inhibition problem ⋮ Free boundary layer formation in nonlinear heat propagation ⋮ Lagrangian approach to the study of level sets: Application to a free boundary problem in climatology ⋮ Interfaces in multidimensional diffusion equations with absorption terms

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