Existence of weak solutions to stochastic heat equations driven by truncated \(\alpha\)-stable white noises with non-Lipschitz coefficients

DOI10.1016/J.JMAA.2024.128362MaRDI QIDQ6500078

Xiao-Wen Zhou, Yong Jin Wang, Chengxin Yan

Publication date: 10 May 2024

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

stochastic heat equationsuniform stochastic continuitynon-Lipschitz noise coefficientstruncated \(\alpha\)-stable white noisesuniform \(p\)-th moment

Mathematics Subject Classification ID

Stochastic analysis (60Hxx) Miscellaneous topics in partial differential equations (35Rxx) Stochastic processes (60Gxx)

Cites Work

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• Invariant measures of stochastic \(2D\) Navier-Stokes equation driven by \(\alpha\)-stable processes
• On a Burgers type nonlinear equation perturbed by a pure jump Lévy noise in \(\mathbb R^d\)
• Stochastic partial differential equations: an introduction
• Pathwise uniqueness for an SPDE with Hölder continuous coefficient driven by \(\alpha\)-stable noise
• Lattice approximations of reflected stochastic partial differential equations driven by space-time white noise
• Central limit theorems for supercritical branching nonsymmetric Markov processes
• Stochastic integrals for SPDEs: a comparison
• On a stochastic interacting model with stepping-stone noises
• Tightness of probabilities on C([0,1;\(S_ p\)) and D([0,1];\(S_ p\))]
• SPDE in Hilbert space with locally monotone coefficients
• Well posedness and asymptotic behavior for stochastic reaction-diffusion equations with multiplicative Poisson noise
• Local and global well-posedness of SPDE with generalized coercivity conditions
• Structural properties of semilinear SPDEs driven by cylindrical stable processes
• Existence, uniqueness and regularity of parabolic SPDEs driven by Poisson random measure
• Stochastic evolution equations of jump type: Existence, uniqueness and large deviation princi\-ples
• One-dimensional stochastic Burgers equation driven by Lévy processes
• Parabolic problems for the Anderson model. I: Intermittency and related topics
• Regular dependence on initial data for stochastic evolution equations with multiplicative Poisson noise
• Stochastic partial differential equations for some measure-valued diffusions
• Stochastic reaction-diffusion systems with multiplicative noise and non-Lipschitz reaction term
• Stochastic reaction-diffusion equations driven by jump processes
• Williams decomposition for superprocesses
• On convergence of population processes in random environments to the stochastic heat equation with colored noise
• Parabolic SPDEs driven by Poisson white noise
• Stochastic partial differential equation driven by stable noise
• 2D stochastic Navier-Stokes equations driven by jump noise
• The dynamics of nonlinear reaction-diffusion equations with small Lévy noise
• Generalized Gronwall inequalities and their applications to fractional differential equations
• \(\mathbb{L}^p\)-solutions for stochastic Navier-Stokes equations with jump noise
• Existence and pathwise uniqueness to an SPDE driven by \(\alpha\)-stable colored noise
• Stochastic PDEs with heavy-tailed noise
• SPDEs with \(\alpha\)-stable Lévy noise: a random field approach
• Strong solutions for SPDE with locally monotone coefficients driven by Lévy noise
• Stochastic partial differential equations driven by Lévy space-time white noise
• Measure-Valued Branching Markov Processes
• Lévy Processes and Stochastic Calculus
• Regularity of solutions of linear stochastic equations in hilbert spaces
• Approximate Euler Method for Parabolic Stochastic Partial Differential Equations Driven by Space-Time Lévy Noise
• Stochastic Equations in Infinite Dimensions
• Stochastic Partial Differential Equations with Levy Noise
• STOCHASTIC CAHN–HILLIARD PARTIAL DIFFERENTIAL EQUATIONS WITH LÉVY SPACETIME WHITE NOISES
• Stochastic Burgers' equation
• \(L^2\)-theory for transition semigroups associated to dissipative systems

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