Some properties of solutions for semilinear heat equations with timelag

DOI10.1016/0022-0396(77)90007-9zbMath0314.35051OpenAlexW2081562144MaRDI QIDQ1220644

Atsushi Inoue, Kiyoshi Yoshida, Tetsuro Miyakawa

Publication date: 1977

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

Full work available at URL: https://doi.org/10.1016/0022-0396(77)90007-9

Mathematics Subject Classification ID

Related Items (13)

The first boundary value problem for strongly elliptic differential- difference equations ⋮ Functional differential parabolic equations: integral transformations and qualitative properties of solutions of the Cauchy problem ⋮ Well-posedness and stability results for nonlinear abstract evolution equations with time delays ⋮ Existence of periodic solutions of semilinear evolution equations with time lags ⋮ Global existence for a delay differential equations ⋮ Blowing-up solutions of differential equations with shifts: a survey ⋮ Existence, uniqueness and continuous dependence for implicit semilinear functional differential equations. ⋮ The high-order multistep ADI solver for two-dimensional nonlinear delayed reaction-diffusion equations with variable coefficients ⋮ On Cauchy problem for parabolic differential-difference equations ⋮ Variation of constants formulas for partial differential equations with delay ⋮ Dirichlet problem for the diffusive Nicholson's blowflies equation ⋮ Solvability in abstract evolution equations with countable time delays in Banach spaces: global Lipschitz perturbation ⋮ Necessary conditions for partial differential equations with delay to generate \(C_ 0\)-semigroups

Cites Work

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• On the growing problem for semilinear heat equations
• Existence and Stability for Partial Functional Differential Equations
• Optimal Control of Parabolic Systems with Boundary Conditions Involving Time Delays
• Asymptotic Stability of a Time-Delayed Diffusion System
• Dispersion for non-linear relativistic equations. II
• Functional differential equations

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