Strongly damped quasilinear evolution equations
DOI10.1016/0022-247X(81)90043-3zbMath0476.35040MaRDI QIDQ1160353
Publication date: 1981
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Cauchy problemmild solutionsstrongly damped wave equationevolution equation of second ordercontinuation of the solutioninfinitesimal generator of an analytic semigrouplinear unbounded operator with compact resolventtraverse motion of an extensible beam
Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Asymptotic behavior of solutions to PDEs (35B40) Nonlinear parabolic equations (35K55) Groups and semigroups of linear operators (47D03) Linear differential equations in abstract spaces (34G10) Continuation and prolongation of solutions to PDEs (35B60) Initial value problems for linear higher-order PDEs (35G10) Higher-order parabolic equations (35K25)
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Cites Work
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- Semigroups of linear operators and applications to partial differential equations
- Geometric theory of semilinear parabolic equations
- A class of semi-linear equations of evolution
- Existence, uniqueness and stability of solutions of a class of nonlinear partial differential equations
- Semilinear functional differential equations in Banach space
- Stability theory for an extensible beam
- Compactness of bounded trajectories of dynamical systems in infinite dimensional spaces
- Existence, Stability, and Compactness in the α-Norm for Partial Functional Differential Equations
- Existence and Asymptotic Behavior for a Strongly Damped Nonlinear Wave Equation
- A Bifurcation Problem for a Nonlinear Hyperbolic Partial Differential Equation
- Semilinear integrodifferential equations in Banach space
- Volterra Integral Equations in Banach Space
- Equations of parabolic type in a Banach space
- Existence Theorems for a Quasilinear Evolution Equation