Well-posedness and time discretization of a nonlinear Volterra integrodifferential equation

DOI10.1216/jiea/1020254675zbMath1005.45007OpenAlexW2012908390MaRDI QIDQ1607583

Ulisse Stefanelli

Publication date: 5 February 2003

Published in: Journal of Integral Equations and Applications (Search for Journal in Brave)

Full work available at URL: http://math.la.asu.edu/~rmmc/jie/VOL13-3/CONT13-3/CONT13-3.html

zbMATH Keywords

abstract Cauchy problemHilbert spacesmaximal monotone operatorStefan problemtime discretizationheat conduction in materials with memorynonlinear abstract integro-differential equation of Volterra type

Mathematics Subject Classification ID

Integro-partial differential equations (45K05) Other nonlinear integral equations (45G10) Stefan problems, phase changes, etc. (80A22) Theoretical approximation of solutions to integral equations (45L05)

Related Items (7)

Existence for a doubly nonlinear Volterra equation ⋮ Time-discretization and global solution for a doubly nonlinear Volterra equation ⋮ Existence results for a morphoelastic model ⋮ Doubly nonlinear stochastic evolution equations ⋮ The conserved Penrose-Fife phase field model with special heat flux laws and memory effects ⋮ Doubly nonlinear Volterra equations related to the p-Laplacian operator ⋮ On the evolution \(p\)-Laplacian with nonlocal memory

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