On boundedness, periodicity, and almost periodicity of solutions of some nonlinear parabolic equations

DOI10.1016/0022-0396(75)90010-8zbMath0328.35050OpenAlexW2057861136MaRDI QIDQ1226681

Mitsuhiro Nakao

Publication date: 1975

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

Full work available at URL: https://doi.org/10.1016/0022-0396(75)90010-8

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Stability in context of PDEs (35B35) Periodic solutions to PDEs (35B10)

Related Items (12)

Periodic \(\mathrm{L}_p\) estimates by \(\mathscr{R}\)-boundedness: applications to the Navier-Stokes equations ⋮ Recurrent motion in the fractional complex Ginzburg–Landau equation ⋮ Boundedness and almost periodicity of solutions for a class of semilinear parabolic equations with boundary degeneracy ⋮ Numerical analysis of quenching - heat conduction in metallic materials ⋮ Periodic solutions of non-Newtonian polytropic filtration equations with nonlinear sources ⋮ Bounded, periodic or almost-periodic solutions of nonlinear hyperbolic partial differential equations ⋮ Periodic and almost periodic solutions for a coupled system of two Korteweg-de Vries equations with boundary forces ⋮ Periodic solutions of evolution \(p\)-Laplacian equations with nonlinear sources ⋮ Periodic solutions of systems of parabolic equations in unbounded domains ⋮ Periodic solutions of parabolic systems with nonlinear boundary conditions ⋮ On existence of almost periodic solution of Ginzburg-Landau equation ⋮ Periodic solutions of some nonlinear degenerate parabolic equations

Cites Work

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• Sur les solutions bornees et presque périodiques des équations et inéquations d'évolution
• On global solution of nonlinear hyperbolic equations
• Sulla esistenza ed unicita della soluzione limitata e della soluzione quasi periodica per una equazione parabolica con termine dissipativo non lineare discontinuo
• Existence and nonexistence of global solutions for nonlinear parabolic equations

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