Weak and strong probabilistic solutions for a stochastic quasilinear parabolic equation with nonstandard growth

DOI10.1134/S1061920816030018zbMath1359.35199MaRDI QIDQ519064

Publication date: 4 April 2017

Published in: Russian Journal of Mathematical Physics (Search for Journal in Brave)

Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60) Initial-boundary value problems for second-order parabolic equations (35K20) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Strong solutions to PDEs (35D35)

Cites Work

Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Stochastic hydrodynamic-type evolution equations driven by Lévy noise in 3D unbounded domains -- abstract framework and applications
Study of weak solutions for parabolic equations with nonstandard growth conditions
Lebesgue and Sobolev spaces with variable exponents
Weak solutions to stochastic 3D Navier-Stokes-\(\alpha \) model of turbulence: \(\alpha \)-asymptotic behavior
Orlicz spaces and modular spaces
Existence results for a doubly degenerate quasilinear stochastic parabolic equation
On the stochastic 3D Navier-Stokes-\(\alpha\) model of fluids turbulence
On stochastic models describing the motions of randomly forced linear viscoelastic fluids
Magnetohydrodynamic turbulent flows: existence results
Vanishing solutions of anisotropic parabolic equations with variable nonlinearity
Existence of solutions for nonlinear parabolic problem with \(p(x)\)-growth
Compact sets in the space \(L^ p(0,T;B)\)
Approximation of some stochastic differential equations by the splitting up method
On some variational problems
Electrorheological fluids: modeling and mathematical theory
On the solvability of the Cauchy problem with growing initial data for a class of anisotropic parabolic equations
Existence of a martingale solution of the stochastic Navier-Stokes equations in unbounded 2D and 3D domains
Weak solutions of a stochastic model for two-dimensional second grade fluids
Weak solutions for a doubly degenerate quasilinear parabolic equation with random forcing
Sur la stabilité et la convergence de la méthode des pas fractionnaires
On the uniqueness of solutions of stochastic differential equations
Equations aux dérivées partielles stochastiques non linéaires. I
Splitting-up scheme for nonlinear stochastic hyperbolic equations
Approximation of the Zakaï Equation by the Splitting up Method
Lsub1-Lsubinfin estimates of solutions of the Cauchy problem for an anisotropic degenerate parabolic equation with double non-linearity and growing initial data
DENSITY DEPENDENT STOCHASTIC NAVIER–STOKES EQUATIONS WITH NON-LIPSCHITZ RANDOM FORCING
On stochastics equations with respect to semimartingales ii. itô formula in banach spaces
On stochastic squations with respect to semimartingales III
On a doubly degenerate quasilinear anisotropic parabolic equation
Sobolev embeddings with variable exponent
Uniqueness for stochastic evolution equations in Banach spaces
Chebyshev-Haar systems in the theory of discontinuous Kellogg kernels
Evolution PDEs with Nonstandard Growth Conditions
Convergence for a Splitting-Up Scheme for the 3D Stochastic Navier-Stokes-α Model
NONLINEAR EQUATIONS OF HAMMERSTEIN TYPE WITH POTENTIAL AND MONOTONE OPERATORS IN BANACH SPACES
Sobolev embedding theorems for spaces \(W^{k,p(x)}(\Omega)\)
On the spaces \(L^{p(x)}(\Omega)\) and \(W^{m,p(x)}(\Omega)\)
Stochastic Equations in Infinite Dimensions

This page was built for publication: Weak and strong probabilistic solutions for a stochastic quasilinear parabolic equation with nonstandard growth