Pathwise nonuniqueness for the SPDEs of some super-Brownian motions with immigration

DOI10.1214/14-AOP962zbMath1337.60135arXiv1308.5141OpenAlexW1515303983MaRDI QIDQ5962541

Yu-Ting Chen

Publication date: 12 February 2016

Published in: The Annals of Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1308.5141

zbMATH Keywords

stochastic partial differential equationsimmigrationcontinuous decompositionsuper-Brownian motions

Mathematics Subject Classification ID

Brownian motion (60J65) Heat equation (35K05) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) PDEs with randomness, stochastic partial differential equations (35R60) Superprocesses (60J68)

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Cites Work

• Nonuniqueness for a parabolic SPDE with \(\frac{3}{4}-\varepsilon \)-Hölder diffusion coefficients
• Smaller population size at the MRCA time for stationary branching processes
• Pathwise uniqueness for stochastic heat equations with Hölder continuous coefficients: The white noise case
• On pathwise uniqueness for stochastic heat equations with non-Lipschitz coefficients
• Stochastic partial differential equations for some measure-valued diffusions
• One dimensional stochastic partial differential equations and the branching measure diffusion
• Weak uniqueness for the heat equation with noise
• On the continuity of the \(m\)th root of a continuous nonnegative definite matrix-valued function
• Nonuniqueness for nonnegative solutions of parabolic stochastic partial differential equations
• Pathwise uniqueness for a degenerate stochastic differential equation
• On the uniqueness of solutions of stochastic differential equations
• Two Contrasting Properties of Solutions for One-Dimensional Stochastic Partial Differential Equations
• An Introduction to Branching Measure-Valued Processes
• On the Uniqueness in Law and the Pathwise Uniqueness for Stochastic Differential Equations
• On the Factorization of Non-Negative Definite Matrices
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