Stochastic Equations with Boundary Noise

DOI10.1007/978-3-0348-0075-4_30zbMath1254.60069arXiv1001.2137OpenAlexW1618429966MaRDI QIDQ2909949

Roland Schnaubelt, Mark C. Veraar

Publication date: 7 September 2012

Published in: Progress in Nonlinear Differential Equations and Their Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1001.2137

zbMATH Keywords

mild solutionvariational solutioncylindrical Brownian motionboundary noisenon-autonomous parabolic stochastic equations

Mathematics Subject Classification ID

Stochastic partial differential equations (aspects of stochastic analysis) (60H15) PDEs with randomness, stochastic partial differential equations (35R60)

Related Items (12)

Elliptic problems with rough boundary data in generalized Sobolev spaces ⋮ Stochastic Switching in Infinite Dimensions with Applications to Random Parabolic PDE ⋮ Stochastic evolution equations with rough boundary noise ⋮ Boundary value problems with rough boundary data ⋮ Non-autonomous stochastic evolution equations and applications to stochastic partial differential equations ⋮ The primitive equations with stochastic wind driven boundary conditions ⋮ A new approach to stochastic evolution equations with adapted drift ⋮ A stochastic model for electrodeposition process with applications in filtering and boundary control ⋮ Sample paths of white noise in spaces with dominating mixed smoothness ⋮ Fast Diffusion Limit for Reaction-Diffusion Systems with Stochastic Neumann Boundary Conditions ⋮ Stochastic integration with respect to fractional processes in Banach spaces ⋮ Large deviations for fast transport stochastic RDEs with applications to the exit problem

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