On a nonlinear elliptic-parabolic integro-differential equation with \(L^{1}\)-data.

DOI10.1016/j.jde.2003.10.012zbMath1036.35150OpenAlexW2071857539MaRDI QIDQ1426096

Petra Wittbold, Volker G. Jakubowski

Publication date: 14 March 2004

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2003.10.012

zbMATH Keywords

entropy solutionsKruzhkov's method of doubling variables\(L^1\) dataabstract Volterra equationFractional time derivative

Mathematics Subject Classification ID

PDEs of mixed type (35M10) Initial value problems for PDEs with pseudodifferential operators (35S10)

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Cites Work

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• Quasilinear elliptic-parabolic differential equations
• Uniqueness of renormalized solutions of degenerate elliptic-parabolic problems
• Regularity of solutions of nonlinear Volterra equations
• \(L^ 1\)-contraction and uniqueness for quasilinear elliptic-parabolic equations
• On convergence to entropy solutions of a single conservation law
• Asymptotic Behavior of Solutions of Nonlinear Volterra Equations with Completely Positive Kernels
• Existence and uniqueness for a degenerate parabolic equation with 𝐿¹-data
• Renormalised solutions of nonlinear parabolic problems with L¹ data: existence and uniqueness
• FIRST ORDER QUASILINEAR EQUATIONS IN SEVERAL INDEPENDENT VARIABLES
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