Local Existence and Uniqueness for a Two-Dimensional Surface Growth Equation with Space-Time White Noise

DOI10.1080/07362994.2013.829003zbMath1292.35345arXiv1307.4034OpenAlexW2963155068MaRDI QIDQ5746993

Dirk Blömker, Marco Romito

Publication date: 11 February 2014

Published in: Stochastic Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1307.4034

zbMATH Keywords

mild solutionlocal existence and uniquenessfixed-point argumentsurface growth modelregularization of noise

Mathematics Subject Classification ID

Gaussian processes (60G15) Smoothness and regularity of solutions to PDEs (35B65) Nonlinear parabolic equations (35K55) Critical exponents in context of PDEs (35B33) A priori estimates in context of PDEs (35B45) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) PDEs with randomness, stochastic partial differential equations (35R60)

Related Items (3)

Numerical Continuation and SPDE Stability for the 2D Cubic-Quintic Allen--Cahn Equation ⋮ Stochastic PDEs and lack of regularity: a surface growth equation with noise: existence, uniqueness, and blow-up ⋮ Singular limits for stochastic equations

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