Smoothness effect and decay on a class of nonlinear evolution equation

DOI10.5802/afst.747zbMath0783.47074OpenAlexW2335311697MaRDI QIDQ1801433

Jaime Edilberto Muñoz Rivera

Publication date: 14 March 1994

Published in: Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AFST_1992_6_1_2_237_0

zbMATH Keywords

asymptotic behaviournonlinear evolution equationsmoothing propertyexistence and uniqueness of global solutionspositive selfadjoint operator on a Hilbert space

Mathematics Subject Classification ID

Semigroups of nonlinear operators (47H20) Smoothness and regularity of solutions to PDEs (35B65) Asymptotic behavior of solutions to PDEs (35B40)

Related Items (5)

Decay properties of solutions of some quasilinear hyperbolic equations with strong damping ⋮ On global solutions and blow-up solutions of nonlinear Kirchhoff strings with nonlinear dissipation ⋮ Global solutions for a nonlinear Kirchhoff type equation with viscosity ⋮ On Global Existence, Asymptotic Stability and Blowing Up of Solutions for Some Degenerate Non-linear Wave Equations of Kirchhoff Type with a Strong Dissipation ⋮ Similarity reductions of a nonlinear model for vibrations of beams

Cites Work

• Yosida approximation and nonlinear hyperbolic equation
• On global classical solutions of a nonlinear wave equation
• ON A CLASS OF QUASILINEAR HYPERBOLIC EQUATIONS
• Decay properties of solutions of some quasilinear hyperbolic equations with strong damping
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