On pathwise uniqueness for stochastic heat equations with non-Lipschitz coefficients
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Publication:858987
DOI10.1214/009117906000000331zbMath1108.60057arXivmath/0507545OpenAlexW2158439781MaRDI QIDQ858987
Leonid Mytnik, Anja Sturm, Edwin A. Perkins
Publication date: 12 January 2007
Published in: The Annals of Probability (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0507545
Central limit and other weak theorems (60F05) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) Processes in random environments (60K37) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80)
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Cites Work
- Extending martingale measure stochastic integral with applications to spatially homogeneous S. P. D. E's
- Weak uniqueness for the heat equation with noise
- Nonlinear stochastic wave and heat equations
- On convergence of population processes in random environments to the stochastic heat equation with colored noise
- On the uniqueness of solutions of stochastic differential equations
- Regularity of solutions of linear stochastic equations in hilbert spaces
- Two Contrasting Properties of Solutions for One-Dimensional Stochastic Partial Differential Equations
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