On asymptotics of solutions of parabolic equations with nonlocal high-order terms

DOI10.1007/S10958-006-0139-1zbMath1115.35140OpenAlexW2048153989MaRDI QIDQ877514

A. B. Muravnik

Publication date: 24 April 2007

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-006-0139-1

zbMATH Keywords

stabilizationCauchy problemlong-time behaviorasymptotic closeness

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Stability in context of PDEs (35B35) Fundamental solutions to PDEs (35A08) Integral representations of solutions to PDEs (35C15) Partial functional-differential equations (35R10)

Related Items (3)

Functional differential parabolic equations: integral transformations and qualitative properties of solutions of the Cauchy problem ⋮ Asymptotic properties of solutions of the Dirichlet problem in the half-plane for differential-difference elliptic equations ⋮ Nonlocal problems and functional-differential equations: theoretical aspects and applications to mathematical modelling

Cites Work

• On Cauchy problem for parabolic differential-difference equations
• Differential-difference equations
• Necessary conditions for partial differential equations with delay to generate \(C_ 0\)-semigroups
• \(L^ 2\)-regularity for parabolic partial integrodifferential equations with delay in the highest-order derivatives
• On the Cauchy problem for differential-difference equations of the parabolic type
• Spectral properties of finite-dimensional perturbed linear semigroups
• Diffractive patterns in a nonlinear optical two-dimensional feedback system with field rotation
• The correct solvability of some differential-difference equations in the scale of Sobolev spaces
• First mixed problem for a parabolic difference-differential equation
• On some properties of elliptic and parabolic functional-differential equations
• LINEAR EQUATIONS OF THE SECOND ORDER OF PARABOLIC TYPE
• Bifurcation of periodic solutions for nonlinear parabolic functional differential equations arising in optoelectronics
• An analogue of a theorem of Laurent Schwartz
• Elliptic functional differential equations and applications
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