Invariant manifolds for stochastic wave equations

By Kening Lu, B. Schmalfuβ. 2007

83 citations recorded by the source corpus.

Subfields: Computational Theory and Mathematics, Control and Systems Engineering, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/9509481fddaeea201dcd0d8c3ff69af8a92b2042

Citations in the corpus

• Lyapunov Exponents and Invariant Manifolds for Random Dynamical Systems in a Banach Space (2010, unknown): “See, for example,[8], [7], [18], and [32].”
• Invariant Manifolds for Random and Stochastic Partial Differential Equations (2009, unknown): “Then there exists a Lipschitz pseudo-stable manifold for equation (4.27) which is given by M s(ω) = {q + hs(ω, q)|q ∈ Es(ω)} where hs(ω, ·) : Es(ω) → Eu(ω) is Lipschitz continuous and satisfies hu(ω, 0) = 0 Remark 4.3 Restricting Mu(ω) and M s(ω) to a random ball N (ω) with center zero and a random ”