Keywords: 60J35; 47D07; Gradient estimates; Stability; Subordination; Fractional powers;
مقالات ISI (ترجمه نشده)
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Keywords: 26D10; 47D07; 60J25; 60J60; (In)homogeneous Markov processes; Functional inequalities; Rate of convergence; Total variation distance;
Keywords: 47D07; 47D08; 35J10; 35K20; One-parameter semigroups; Elliptic operators with unbounded coefficients; Schrödinger operator;
Keywords: 35R11; 47G20; 60G52; 42C15; 47D07; 58C40; Fractional operators; Continuous frames; Non-self-adjoint integro-differential operators; Markov semigroups; Reflected stable processes; Spectral theory;
Keywords: 26D10; 39B62; 47D07; 60G10; 60J60; Lyapunov functions; Hitting times; Uniform ergodicity; F-Sobolev inequalities;
Keywords: primary; 35K05; 60J35; 47G20; secondary; 47D07; Heat kernel; Transition density; Non-local operator; Kato class; Lévy system; Gradient estimate;
Keywords: 47D07; 35B50; 35J25; 35J70Uniqueness; Elliptic operators; Discontinuous coefficients; Generation results; Analytic semigroups
Keywords: 47D07; 35J70; 35K65Markov uniqueness; Ahlfors regularity; Hardy inequality
Keywords: 15B52; 30C15; 47D07; 60G55; 82C22; Determinantal processes; Correlation kernels; Random matrix theory; Infinite particle systems; Strong Markov property; Entire function and topology;
Keywords: 60J80; 60J45; 60J40; 60J35; 47D07; 60K35; Fragmentation equation; Fragmentation kernel; Stochastic differential equation of fragmentation; Discrete branching process; Branching kernel; Branching semigroup; Excessive function; Absorbing set; Measure-valued
Keywords: 47D07; 60H15; 35R60; Singular stochastic evolution equation; Logarithmic diffusion; p-Laplacian equation; Ergodic semigroup;
Keywords: primary; 60J60; 60J35; 31B35; secondary; 47D07; Reflected Bessel process; Heat kernel monotonicity; h-transform; Maximum principle; Log concavity; Rearrangement inequalities;
On the rates of decay to equilibrium in degenerate and defective Fokker-Planck equations
Keywords: primary; 35Q84; 35H10; secondary; 35K10; 35B40; 47D07; Fokker-Planck equations; Spectral theory; Non-symmetric hypercontractivity; Long time behaviour;
Diffusion with nonlocal boundary conditions
Keywords: 47D07; 60J35; 35B35; Diffusion process; Nonlocal boundary conditions; Asymptotic behavior;
A Remark on the Heat Equation with a Point Perturbation, the Feynman–Kac Formula with Local Time and Derivative Pricing
Keywords: point interactions; heat equation; heat kernel; Feynman–Kac formula; Brownian motion; local time; option pricing; Black–Scholes equation35K05; 35K08; 35Q79; 35R06; 47D06; 47D07; 47D08; 47N30; 80A20; 91G20; 91G80
The coexistence of a stochastic Lotka-Volterra model with two predators competing for one prey
Keywords: Lotka-Volterra model; Diffusion process; Markov semigroups; Asymptotic stability; Coexistence; 47D07; 60J60; 60H10; 92D30;
Bounded and LpLp-weak solutions for nonlinear equations of measure-valued branching processes
Keywords: 35J10; 35J60; 35G30; 60J45; 60J68; 60J80; 60J35; 47D07; 60J57; 31D05Nonlinear PDE; Nonlinear Dirichlet problem; LpLp-weak solution; LpLp-resolvent; Measure perturbation; Discrete branching process; Space of finite configurations; Branching kernel; Measure
Monic representations of the Cuntz algebra and Markov measures
Keywords: 47B32; 47A67; 47D07; 43A45; 42C40; 65T60; 60J27Wavelet representation; Infinite product measures; Markov measures; Cuntz algebras
Two-sided estimates for the transition densities of symmetric Markov processes dominated by stable-like processes in C1,η open sets
Keywords: primary; 60J35; 47G20; 60J75; secondary; 47D07; Dirichlet form; Jump process; Jumping kernel; Markov process; Heat kernel; Dirichlet heat kernel; Transition density; Lévy system;
Existence and convergence results for infinite dimensional nonlinear stochastic equations with multiplicative noise
Keywords: 60J60; 47D07; 15A36; 31C25Stochastic differential equations; Brownian motion; Progressively measurable; Porous media equations
Ergodicity of the stochastic real Ginzburg–Landau equation driven by αα-stable noises
Keywords: 60H15; 47D07; 60J75; 35R60Stochastic real Ginzburg–Landau equation driven by αα-stable noises; Galerkin approximation; Strong Feller property; Ergodicity; Accessibility; Stochastic αα-stable convolution; Maximal inequality
Exponential ergodicity and regularity for equations with Lévy noise
Keywords: 60H15; 47D07; 60J75; 35R60Stochastic PDEs; αα-stable noise; Hölder continuous drift; Harris’ theorem; Coupling; Total variation; Exponential mixing; Ornstein–Uhlenbeck processes
Gradient estimates for SDEs without monotonicity type conditions
Keywords: 60H10; 60H30; 47D07; Stochastic differential equations; Markov semigroups; Gradient estimates; Feynman-Kac formula; Bismut-Elworthy-Li formula;
Trotter products and reaction–diffusion equations
Keywords: 26A33; 47G30; 47D07; 31B10Reaction–diffusion equation; Product formula; Pseudodifferential operator; Feller semigroup
Verification theorems for stochastic optimal control problems via a time dependent Fukushima–Dirichlet decomposition
Keywords: primary; 35R15; 49L10; 60H05; 93B52; 93E20; secondary; 35J60; 47D03; 47D07; 49L25; 60J35; 93B06; 93B50Hamilton–Jacobi–Bellman (HJB) equations; Stochastic calculus via regularization; Fukushima–Dirichlet decomposition; Stochastic optimal control; Verificat
About a construction and some analysis of time inhomogeneous diffusions on monotonely moving domains
Keywords: 60J60; 31C25; 47D06; 47D07; 35K65; 35K20; 60J55; Diffusion processes; Dirichlet spaces; One-parameter semigroups and linear evolution equations; Markov semigroups and applications to diffusion processes; Parabolic partial differential equations of degener