On the existence and asymptotic behavior of solutions of nonlinear heat flow with memory

DOI10.3792/pjaa.63.250zbMath0661.35080OpenAlexW2010756109MaRDI QIDQ1113023

Nobuyuki Kato

Publication date: 1987

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pjaa.63.250

zbMATH Keywords

Banach spacesresolventexistenceasymptotic behaviornonlinear Volterra equationsconvergence conditionm-accretiveheat flow with memoryhistory-boundary-value problem

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Nonlinear parabolic equations (35K55) Integro-partial differential equations (45K05) Partial functional-differential equations (35R10) Volterra integral equations (45D05)

Cites Work

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• Strong convergence of contraction semigroups and of iterative methods for accretive operators in Banach spaces
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• Semi-linear second-order elliptic equations in \(L^1\)
• Unbounded behavior and convergence of solutions of nonlinear Volterra equations in Banach spaces
• Ergodic theorems for non-linear Volterra equations in Hilbert space
• On the asymptotic behavior of solutions of evolution equations associated with nonlinear Volterra equations
• Asymptotic Behavior of Solutions of Nonlinear Volterra Equations with Completely Positive Kernels

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