Keywords: Fractional Brownian motion; Viability; Tangency property; 60H15; 60G15; 60H05;
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Keywords: 26A33; 34K37; 34K40; 34K45; 35R60; 45J05; 46C15; 60H15; 60H20; Analytic semigroup; Banach fixed point theorem; Caputo derivative; Faedo-Galerkin approximation; Stochastic differential equation;
Keywords: 60H15; 60H35; 65C30; Stochastic heat equation; Fractional noise; Bismut formula; Harnack inequality;
Keywords: 60H15; 35R60; Stochastic Burgers equations; Poisson random measures; Exponential stability; Second moment stability;
Keywords: 60H15; Stochastic heat equation; White noise; Fractional noise; Girsanov transformation; Transportation inequality;
Keywords: Stochastic fractional evolution equation; Fractional Brownian motion; Infinite delay; 60H15; 60G15; 60H05;
Keywords: primary; 37H99; secondary; 34D55; 35B51; 37B25; 37C70; 37L99; 60H10; 60H15; 60H25; Pullback attractor; Weak attractor; Forward attractor; Omega limit set; Compact random set; Closed random set;
Keywords: 34B05; 60H15; 60H35; 65N30; Stochastic partial differential equations; Boundary value problems; Gaussian measures; Finite element methods; White noise;
Keywords: 60F10; 60H15; 60J75; Stochastic reaction-diffusion equation; Subordinate Brownian motions; Large deviation principle; Occupation measure;
Keywords: primary; 60H15; secondary; 70K70; Stochastic wave equation; Averaging principle; Invariant measure; Weak convergence; Asymptotic expansion;
Keywords: primary; 60H15; secondary; 35R60; Stochastic partial differential equations; Random travelling fronts;
Keywords: 35B27; 35D40; 60H15; Viscosity PDEs; Temporal noise with nonlinear Hamiltonian; Pathwise theory of fully non-linear SPDEs; Homogenization;
Keywords: primary; 60H15; 60G15; 60J45; secondary; 60G60; 60H07; Systems of stochastic Poisson equations; Hitting probabilities; Capacity; Hausdorff measure;
Keywords: 60H15; 47H05; 47J05; Wiener process; Fokker-Planck equation; Random differential equation; m-accretive operator;
Keywords: 35R60; 49K20; 60G15; 60H15; 76D55; Stochastic second grade fluids; Backward stochastic partial differential equations; Stochastic optimal control; Necessary optimality condition;
Keywords: primary; 35L10; 60H15; secondary; 35L40; 35S30; Stochastic partial differential equations; Stochastic wave equation; Hyperbolic partial differential equations; Fundamental solution; Variable coefficients; Fourier integral operators;
Keywords: 60H15; 35B40; 58F11; 58F36; Wong-Zakai approximation; Reaction-diffusion equation; White noise; Random dynamical systems; Random attractor; Upper semicontinuity;
A moderate deviation principle for stochastic Volterra equation
Keywords: primary; 60H15; secondary; 60F05; 60F10; Stochastic Volterra equations; Moderate deviation principle; Weak convergence method;
Stochastic delay differential equations in a Hilbert space driven by fractional Brownian motion
Keywords: 60H15; 60G15; 60H05; Mild solution; Semigroup of bounded linear operator; Fractional Brownian motion; Stochastic integration for fractional Brownian motion;
Large deviations for a class of semilinear stochastic partial differential equations
Keywords: primary; 60H15; 60H10; secondary; 37L55; Large deviations; Stochastic partial differential equations; Infinite dimensional Brownian motion;
Keywords: stochastic evolution equations; fractional Brownian motion; controllability; 60H15; 60G15; 93E03; 93B05;
Keywords: 34C29; 60G22; 60H15; Stochastic averaging; Mild solution; Stochastic partial differential equation; Fractional Brownian motion; Two-time scale;
Quasilinear parabolic stochastic partial differential equations: Existence, uniqueness
Keywords: 60H15; 60F10; 35R60; Quasilinear stochastic partial differential equations; Strong solutions; Energy inequality;
Equilibrium fluctuations for a discrete Atlas model
Keywords: 60K35; 60H15; 82C22; Atlas model; Zero-range process; Equilibrium fluctuations;
Keywords: 60H15; 65M60; 97N40; 65C05; 74B20; Monte carlo methods; Uncertainty propagation; Tangent linear models; Partially intrusive methods; Polynomial chaos expansion; Parallel computing;
Keywords: 60H15; 35K67; 37L40; 49J45; Stochastic evolution equation; Stochastic diffusion equation; p-Laplace equation; 1-Laplace equation; Total variation flow; Fast diffusion equation; Ergodic semigroup; Unique invariant measure; Variational convergence;
Keywords: stochastic partial differential equation; fractional Brownian motion; Malliavin calculus; Gaussian density estimates; 60G35; 60H07; 60H15;
Keywords: Random Fourier series; Spinodal decomposition; Maximum norm; Numerical experiments; Modeling extremal values; 60H15; 42A16; 60G17; 60G50; 60G70;
Keywords: 37L55; 60H15; 35B40; Random exponential attractor; Cocycle; Stochastic lattice system; Fractal dimension; Multiplicative white noise;
Keywords: 35R15; 49L25; 60H15; 91G80; Viscosity solution; Kolmogorov equation; Stochastic differential equation; Delay problem; Hedging problem;
Stochastic partial differential equations with singular terminal condition
Keywords: 35R60; 35K67; 60H15; 60H30; Backward doubly stochastic differential equations; Stochastic partial differential equations; Monotone condition; Singular terminal data;
Keywords: Exponential stability; Second-order; Infinite delays; Impulses; Mild solutions93E03; 93E15; 60H15
Keywords: 60H15; 35R60; 93E20Backward stochastic differential equation; Quadratic BSDE; BMO martingale; John–Nirenberg inequality; The reverse Hölder inequality
Keywords: 65C30; 60H15; 60H35Navier–Stokes equations; Oseen–Stokes equations; Helmholtz–Hodge–Leray decomposition; Stochastic partial differential equations; Conditional Feynman–Kac formula; Weak approximation of stochastic differential equations and layer methods
Keywords: primary; 60J68; 60H15; secondary; 60H05; Superprocess; Interaction; Immigration; Pathwise uniqueness; Yamada-Watanabe argument;
Keywords: 35K20; 60H15; 60H40Anomalous diffusion; Itô's formula; Stochastic Burgers equation; Conservation laws
Keywords: 35K55; 35K92; 60H15; 37L15; 45E10; 49J45Stochastic variational inequality; Nonlocal stochastic partial differential equations; Singular-degenerate SPDE; Trotter type results; Homogenization; Random Mosco convergence
Keywords: Non-Lipschitz condition; Successive approximation; Variable delays; 60H15; 34G20; 60J65; 60J75;
Keywords: 35B65; 60H15; 35R60; 45D05; 34A08Volterra equation; Stochastic partial differential equation; Fractional differential equation; Wiener process; Gaussian noise; Multiplicative noise
Keywords: 35K20; 60H15; 60H40Itô's formula; Blow-up; Stochastic parabolic partial differential equation; Finite time singularity; Impact of noise
Keywords: primary; 60H15; secondary; 70K70; Stochastic hyperbolic-parabolic equations; Averaging principle; Invariant measure and ergodicity; Strong convergence;
Keywords: 34G20; 34K37; 34K45; 35R12; 45J05; 60H15; 60H20Resolvent operator; Impulsive differential equation; Fixed point theorem; Neutral integro-differential equation; Stochastic differential equation
Keywords: 35B37; 49N70; 60H15; 91A06Master equation; Mean Field type control problems; Mean Field Games; Stochastic maximum principle; Stochastic HJB equations; Linear quadratic problems
Keywords: 60H15; 60G15; 60H05Invariant measure; Eventually norm continuous; Distributed delay; Stochastic functional differential equation
Keywords: 60H15; 35A08; 35R60; Stochastic higher order modified Camassa-Holm equation; Bourgain spaces; Well-posedness;
Keywords: 60H15; 60G15; 60H05Quadratic mean almost periodic; Neutral stochastic evolution equations; Infinite delay
Keywords: primary; 60H15; secondary; 82B44; Stochastic partial differential equations;
Keywords: 35R60; 35K57; 60H15; 65L06Stochastic differential equations; Prebiotic evolution; RNA-like molecules; Milstein method
Keywords: 49J27; 60H15; 93E20Neutral differential equations; Hilbert spaces; Relaxed controls; Necessary conditions; Optimal control
Keywords: 34K50; 60H15; 60H30; 47D06Stochastic partial differential equations with finite delay; Stochastic evolution equation with delay; umd Banach spaces; Type 2 Banach spaces