SPDEs with non-Lipschitz coefficients and nonhomogeneous boundary conditions

Stochastic partial differential equations (aspects of stochastic analysis) (60H15) PDEs with randomness, stochastic partial differential equations (35R60) Markov processes (60Jxx) Stochastic processes (60Gxx)

Cites Work

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Well-posedness of the martingale problem for superprocess with interaction
Hölder continuity of solutions of SPDEs with reflection
New results on pathwise uniqueness for the heat equation with colored noise
Stochastic equations, flows and measure-valued processes
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Joint continuity of the solutions to a class of nonlinear SPDEs
Pathwise uniqueness for stochastic heat equations with Hölder continuous coefficients: The white noise case
White noise driven SPDEs with reflection: existence, uniqueness and large deviation principles
Existence of invariant measures for reflected stochastic partial differential equations
Hitting properties of parabolic s.p.d.e.'s with reflection.
On pathwise uniqueness for stochastic heat equations with non-Lipschitz coefficients
White noise driven SPDEs with reflection: Strong Feller properties and Harnack inequalities
An \(\infty\)-dimensional inhomogeneous Langevin's equation
Joint continuity of the intersection local times of Markov processes
Stochastic partial differential equations for some measure-valued diffusions
One dimensional stochastic partial differential equations and the branching measure diffusion
White noise driven quasilinear SPDEs with reflection
Martingale problems for conditional distributions of Markov processes
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On quasi-linear stochastic partial differential equations
White noise driven parabolic SPDEs with measurable drift
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Pathwise uniqueness of the stochastic heat equation with spatially inhomogeneous white noise
Strong existence and uniqueness to a class of nonlinear SPDEs driven by Gaussian colored noises
On convergence of population processes in random environments to the stochastic heat equation with colored noise
Particle representations for measure-valued population models
Super-Brownian motion as the unique strong solution to an SPDE
Hölder continuity of the solutions for a class of nonlinear SPDE's arising from one dimensional superprocesses
Stochastic partial differential equations for a class of interacting measure-valued diffusions
Existence and pathwise uniqueness to an SPDE driven by \(\alpha\)-stable colored noise
Strong uniqueness for an SPDE via backward doubly stochastic differential equations
The Yamada-Watanabe-Engelbert theorem for general stochastic equations and inequalities
Skew convolution semigroups and affine Markov processes
Measure-Valued Branching Markov Processes
An Introduction to Branching Measure-Valued Processes
On the martingale problem for interactive measure-valued branching diffusions
Three Classes of Nonlinear Stochastic Partial Differential Equations

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