Stochastic nonlinear beam equations
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Publication:1775521
DOI10.1007/s00440-004-0392-5zbMath1071.60053OpenAlexW2022700826MaRDI QIDQ1775521
Jan Seidler, Bohdan Maslowski, Zdzisław Brzeźniak
Publication date: 3 May 2005
Published in: Probability Theory and Related Fields (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00440-004-0392-5
Second-order nonlinear hyperbolic equations (35L70) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) PDEs with randomness, stochastic partial differential equations (35R60)
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Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
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- Unnamed Item
- Unnamed Item
- Unnamed Item
- Semigroups of linear operators and applications to partial differential equations
- \(\alpha\)-contractions and attractors for dissipative semilinear hyperbolic equations and systems
- Finite-dimensional behaviour of a nonautonomous partial differential equation: Forced oscillations of an extensible beam
- On a new class of nonlinear wave equations
- On a global solution and asymptotic behaviour for the generalized damped extensible beam equation
- Existence, uniqueness and stabilization for a nonlinear plate system with nonlinear damping
- Martingale solutions and invariant measures for stochastic evolution equations in Banach spaces
- A partial differential equation with infinitely many periodic orbits: Chaotic oscillations of a forced beam
- Stochastic PDE for nonlinear vibration of elastic panels
- Integral continuity and stability for stochastic hyperbolic equations
- Nonlinear vibration of beams and rectangular plates
- Free vibrations and dynamic buckling of the extensible beam
- Initial-boundary value problems for an extensible beam
- On stabilization of partial differential equations by noise
- Brownian Representations of Cylindrical Local Martingales, Martingale Problem and Strong Markov Property of Weak Solutions of SPDEs in Banach Spaces
- Stability and Stabilizability of Infinite-Dimensional Systems
- Da Prato-Zabczyk's maximal inequality revisited. I.
- On stochastic convolution in banach spaces and applications
- Stability of solution to semilinear stochastic evolution equations
- Global Existence and Boundedness of Solutions to the Extensible Beam Equation
- Uniqueness for stochastic evolution equations in Banach spaces
- Exponential attractors for extensible beam equations
- Nonlinear dynamic buckling of a compressed elastic column
- Stochastic Equations in Infinite Dimensions
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