Nonlinear abstract wave equations with strong damping
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Publication:1270919
DOI10.1006/jmaa.1998.5999zbMath0918.35094OpenAlexW1981727875MaRDI QIDQ1270919
Publication date: 19 August 1999
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1006/jmaa.1998.5999
Hille-Yosida conditionstrong dampingnondense domainquasilinear hyperbolic equation with linear viscosity
Related Items (3)
Existence and controllability results for damped second order impulsive functional differential systems with state-dependent delay ⋮ Controllability of damped second-order impulsive neutral functional differential systems with infinite delay ⋮ Existence results for a damped second order abstract functional differential equation with impulses
Cites Work
- A method of iterations for quasi-linear evolution equations in nonreflexive Banach spaces
- Semigroups of linear operators and applications to partial differential equations
- On the abstract Cauchy problem of parabolic type in spaces of continuous functions
- Some remarks on the equation \(y_{tt}-\sigma (y_x)y_{xx}-y_{x^tx}=f\)
- On a global in time existence theorem of smooth solutions to a nonlinear wave equation with viscosity
- Quasilinear evolution equations with non-densely defined operators
- Existence and Asymptotic Behavior for a Strongly Damped Nonlinear Wave Equation
- Well-Posedness of Higher Order Abstract Cauchy Problems
- A class of complete second order linear differential equations
- Generation of Analytic Semigroups by Strongly Elliptic Operators
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