A class of second order quasilinear evolution equations

DOI10.1006/JDEQ.1994.1143zbMath0810.34057OpenAlexW2024438491MaRDI QIDQ1338299

Ryo Ikehata, Noboru Okazawa

Publication date: 18 April 1995

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

Full work available at URL: https://doi.org/10.1006/jdeq.1994.1143

zbMATH Keywords

existenceuniquenessnonlinear evolution equationslocal strong solutionblowing-up property

Mathematics Subject Classification ID

Nonlinear differential equations in abstract spaces (34G20) Initial value problems for linear higher-order PDEs (35G10) Higher-order parabolic equations (35K25)

Related Items (9)

The energy-preserving time high-order AVF compact finite difference scheme for nonlinear wave equations in two dimensions ⋮ Dynamics of nonlinear hyperbolic equations of Kirchhoff type ⋮ Scattering for a quasilinear hyperbolic equation of Kirchhoff type ⋮ Initial boundary value problem for a Kirchhoff wave model with strong nonlinear damping ⋮ On uniform decay of solutions for wave equation of Kirchhoff type with nonlinear boundary damping and memory source term ⋮ Global solutions for a nonlinear wave equation ⋮ Existence of local solutions of quasilinear integrodifferential equations in banach spaces ⋮ Approximation of abstract Cauchy problems for dissipative operators with respect to metric-like functionals ⋮ On coupled wave equation of Kirchhoff type with nonlinear boundary damping and memory term

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