Weak And Classical Solutions Of Some Nonlinear Volterra Integrodifferential Equations

DOI10.1080/03605309208820889zbMath0759.45012OpenAlexW2070079771MaRDI QIDQ4022987

Hong-Ming Yin

Publication date: 20 January 1993

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: http://purl.umn.edu/1813

zbMATH Keywords

Galerkin methodweak solutionenergy methodnonlinear Volterra integrodifferential equationsclassical solvabilityquasi-maximum principle

Mathematics Subject Classification ID

Integro-partial differential equations (45K05) Other nonlinear integral equations (45G10) Volterra integral equations (45D05)

Related Items (12)

Blow-up of solutions to a viscoelastic parabolic equation with positive initial energy ⋮ Blow-up analysis of a nonlinear pseudo-parabolic equation with memory term ⋮ Abstract Volterra integrodifferential equations with applications to parabolic models with memory ⋮ The blow-up of solutions for a class of semi-linear equations with \(p\)-Laplacian viscoelastic term under positive initial energy ⋮ Unnamed Item ⋮ Global well-posedness for a fourth order pseudo-parabolic equation with memory and source terms ⋮ Blow-up of solutions for a class of nonlinear pseudoparabolic equations with a memory term ⋮ General decay rate estimates for a semilinear parabolic equation with memory term and mixed boundary condition ⋮ Blow-up of solutions to a semilinear heat equation with a viscoelastic term and a nonlinear boundary flux ⋮ Global existence and uniform energy decay rates for the semilinear parabolic equation with a memory term and mixed boundary condition ⋮ Global existence and nonexistence of solutions for the nonlinear pseudo-parabolic equation with a memory term ⋮ A general decay result for a semilinear heat equation with past and finite history memories

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