| Title:
|
A well-posedness result for a mass conserved Allen-Cahn equation with nonlinear diffusion (English) |
| Author:
|
Kettani, Perla El |
| Author:
|
Hilhorst, Danielle |
| Author:
|
Lee, Kai |
| Language:
|
English |
| Journal:
|
Proceedings of Equadiff 14 |
| Volume:
|
Conference on Differential Equations and Their Applications, Bratislava, July 24-28, 2017 |
| Issue:
|
2017 |
| Year:
|
|
| Pages:
|
201-210 |
| . |
| Category:
|
math |
| . |
| Summary:
|
In this paper, we prove the existence and uniqueness of the solution of the initial boundary value problem for a stochastic mass conserved Allen-Cahn equation with nonlinear diffusion together with a homogeneous Neumann boundary condition in an open bounded domain of $\mathbb{R}^n$ with a smooth boundary. We suppose that the additive noise is induced by a Q-Brownian motion. (English) |
| Keyword:
|
Stochastic nonlocal reaction-diffusion equation, monotonicity method, conservation of mass |
| MSC:
|
35K55 |
| MSC:
|
35K57 |
| MSC:
|
60H15 |
| MSC:
|
60H30 |
| . |
| Date available:
|
2019-09-27T07:57:39Z |
| Last updated:
|
2019-09-27 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/703058 |
| . |
| Reference:
|
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| . |
