On the stochastic beam equation driven by a non-Gaussian Lévy process

DOI10.3934/dcdsb.2014.19.1027zbMath1319.60139OpenAlexW2312508005MaRDI QIDQ478238

Fei Liang, Hong-Jun Gao

Publication date: 3 December 2014

Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcdsb.2014.19.1027

zbMATH Keywords

invariant measureglobal weak solutionLévy processtransition semigroupstochastic beam equation

Mathematics Subject Classification ID

Processes with independent increments; Lévy processes (60G51) Second-order nonlinear hyperbolic equations (35L70) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) PDEs with randomness, stochastic partial differential equations (35R60) PDEs in connection with mechanics of deformable solids (35Q74)

Cites Work

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• Blow-up of solutions for a nonlinear beam equation with fractional feedback
• On a stochastic wave equation driven by a non-Gaussian Lévy process
• Asymptotics of solutions to semilinear stochastic wave equations
• On the stochastic wave equation with nonlinear damping
• Nonlinear stochastic wave equations: blow-up of second moments in \(L^{2}\)-norm
• Infinite-dimensional dynamical systems in mechanics and physics.
• On a global solution and asymptotic behaviour for the generalized damped extensible beam equation
• Random attractors
• The stochastic nonlinear damped wave equation
• Existence, uniqueness and stabilization for a nonlinear plate system with nonlinear damping
• Exponentially stable stationary solutions for stochastic evolution equations and their perturba\-tion
• Stochastic nonlinear beam equations
• A partial differential equation with infinitely many periodic orbits: Chaotic oscillations of a forced beam
• Stochastic PDE for nonlinear vibration of elastic panels
• Stochastic wave equations with polynomial nonlinearity
• On a nonlinear stochastic wave equation in the plane: Existence and uniqueness of the solution
• Explosive solutions of stochastic nonlinear beam equations with damping
• Stochastic wave equations with dissipative damping
• Nonlinear vibration of beams and rectangular plates
• Explosive solutions of stochastic wave equations with damping on \(\mathbb R^d\)
• Asymptotic solutions of a nonlinear stochastic beam equation
• Free vibrations and dynamic buckling of the extensible beam
• Stochastic Equations in Infinite Dimensions
• Lévy Processes and Stochastic Calculus
• GLOBAL EXISTENCE AND ASYMPTOTIC STABILITY FOR THE NONLINEAR AND GENERALIZED DAMPED EXTENSIBLE PLATE EQUATION
• Global Existence and Boundedness of Solutions to the Extensible Beam Equation
• Stochastic Partial Differential Equations with Levy Noise
• Nonlinear dynamic buckling of a compressed elastic column

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