Hinz, M, Issoglio, E and Zähle, M (2014) Elementary Pathwise Methods for Nonlinear Parabolic and Transport Type Stochastic Partial Differential Equations with Fractal Noise. In: Korolyuk, V, Limnios, N, Mishura, Y, Sakhno, L and Shevchenko, G, (eds.) Modern Stochastics and Applications. Springer Optimization and Its Applications, 90 . Springer International Publishing , Cham, Switzerland , pp. 123-141. ISBN 978-3-319-03511-6
Abstract
We survey some of our recent results on existence, uniqueness and regularity of function solutions to parabolic and transport type partial differential equations driven by non-differentiable noises. When applied pathwise to random situations, they provide corresponding statements for stochastic partial differential equations driven by fractional noises of sufficiently high regularity order. The approach is based on semigroup theory.
Metadata
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| Dates: |
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| Institution: | The University of Leeds |
| Academic Units: | The University of Leeds > Faculty of Engineering & Physical Sciences (Leeds) > School of Mathematics (Leeds) > Statistics (Leeds) |
| Depositing User: | Symplectic Publications |
| Date Deposited: | 17 May 2016 13:40 |
| Last Modified: | 05 Jun 2016 16:02 |
| Published Version: | http://dx.doi.org/10.1007/978-3-319-03512-3_8 |
| Status: | Published |
| Publisher: | Springer International Publishing |
| Series Name: | Springer Optimization and Its Applications |
| Identification Number: | https://doi.org/10.1007/978-3-319-03512-3_8 |
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