Local existence and uniqueness for a two-dimensional surface growth equation with space-time white noise
- We study local existence and uniqueness for a surface growth model with space-time white noise in 2D. Unfortunately, the direct fixed-point argument for mild solutions fails here, as we do not have sufficient regularity for the stochastic forcing. Nevertheless, one can give a rigorous meaning to the stochastic PDE and show uniqueness of solutions in that setting. Using spectral Galerkin method and any other types of regularization of the noise, we obtain always the same solution.
Download full text files
Statistics
Print On Demand
Additional Services
| Author: | Dirk BlömkerORCiDGND, Marco RomitoORCiD |
|---|---|
| URN: | urn:nbn:de:bvb:384-opus4-23893 |
| Frontdoor URL | https://opus.bibliothek.uni-augsburg.de/opus4/2389 |
| Series (Serial Number): | Preprints des Instituts für Mathematik der Universität Augsburg (2013-14) |
| Type: | Preprint |
| Language: | English |
| Year of first Publication: | 2013 |
| Publishing Institution: | Universität Augsburg |
| Release Date: | 2013/07/17 |
| Tag: | local existence and uniqueness; surface growth model; regularization of noise; fixed point argument; mild solution |
| GND-Keyword: | Stochastische partielle Differentialgleichung; Wachstumsmodell; Weißes Rauschen; Galerkin-Methode |
| Note: | Erschienen in Stochastic Analysis and Applications, 31, 6, S. 1049-1076, https://doi.org/10.1080/07362994.2013.829003 |
| Institutes: | Mathematisch-Naturwissenschaftlich-Technische Fakultät |
| Mathematisch-Naturwissenschaftlich-Technische Fakultät / Institut für Mathematik | |
| Dewey Decimal Classification: | 5 Naturwissenschaften und Mathematik / 51 Mathematik / 510 Mathematik |
| Licence (German): |  Deutsches Urheberrecht mit Print on Demand |
