On some properties of elliptic and parabolic functional differential operators arising in nonlinear optics

DOI10.1007/s10958-008-9141-0zbMath1157.35116OpenAlexW2073274379MaRDI QIDQ2519245

E. M. Varfolomeev

Publication date: 26 January 2009

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

Full work available at URL: https://doi.org/10.1007/s10958-008-9141-0

zbMATH Keywords

periodic solutionsbifurcationnonlinear opticseliptic and parabolic functional differential operators

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) PDEs in connection with optics and electromagnetic theory (35Q60) Periodic solutions to PDEs (35B10) Partial functional-differential equations (35R10) Lasers, masers, optical bistability, nonlinear optics (78A60) Bifurcations in context of PDEs (35B32)

Related Items (6)

Functional differential parabolic equations: integral transformations and qualitative properties of solutions of the Cauchy problem ⋮ Estimates of solutions of elliptic differential-difference equations with degeneration ⋮ Elliptic differential-difference equations with nonlocal potentials in a half-space ⋮ On the half-plane Dirichlet problem for differential-difference elliptic equations with several nonlocal terms ⋮ Analysis of functional-differential equation with orthotropic contractions ⋮ Nonlocal problems and functional-differential equations: theoretical aspects and applications to mathematical modelling

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