Pseudodifferential operators with variable order of differentiation generating Feller semigroups
From MaRDI portal
Publication:1316463
DOI10.1007/BF01200393zbMath0793.35139OpenAlexW1988499281MaRDI QIDQ1316463
Hans-Gerd Leopold, Niels Jacob
Publication date: 10 April 1994
Published in: Integral Equations and Operator Theory (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf01200393
Pseudodifferential operators as generalizations of partial differential operators (35S05) Applications of functional analysis to differential and integral equations (46N20) Pseudodifferential operators (47G30)
Related Items
Fractional Generalized Random Fields of Variable Order, Numerical methods for solving a two-dimensional variable-order modified diffusion equation, Numerical analysis of a new space-time variable fractional order advection-dispersion equation, The martingale problem for pseudo-differential operators on infinite-dimensional spaces, Multifractality in space-time statistical models, Numerical approximation for a variable-order nonlinear reaction-subdiffusion equation, The performance of a numerical scheme on the variable-order time-fractional advection-reaction-subdiffusion equations, A novel numerical method for the time variable fractional order mobile-immobile advection-dispersion model, The scaling limit behaviour of periodic stable-like processes, Estimation of the drift parameter for the fractional stochastic heat equation via power variation, Solving a non-linear stochastic pseudo-differential equation of Burgers type, On recurrence and transience of some Lévy-type processes in ℝ, Neural network method for solving nonlinear fractional advection-diffusion equation with spatiotemporal variable-order, On a nonlinear stochastic pseudo-differential equation driven by fractional noise, Exact variation and drift parameter estimation for the nonlinear fractional stochastic heat equation, On the distribution and q-variation of the solution to the heat equation with fractional Laplacian, Maximal inequalities and some applications, Numerical simulation for the variable-order Galilei invariant advection diffusion equation with a nonlinear source term, On ergodic properties of some Lévy-type processes, Numerical method for solving diffusion-wave phenomena, On an accurate discretization of a variable-order fractional reaction-diffusion equation, Numerical analysis for a variable-order nonlinear cable equation, Unnamed Item, Unnamed Item, Numerical methods with fourth-order spatial accuracy for variable-order nonlinear Stokes first problem for a heated generalized second grade fluid, Homoclinic solutions for Hamiltonian systems with variable-order fractional derivatives, Sample path properties of fractional Riesz–Bessel field of variable order, Intermittency and stochastic pseudo-differential equation with spatially inhomogeneous white noise, Pseudodifferential operators on Besov spaces of variable smoothness, Hölder Continuity of Harmonic Functions with Respect to Operators of Variable Order, Variable order subordination in the sense of Bochner and pseudo-differential operators, Fractional-in-time and multifractional-in-space stochastic partial differential equations, Numerical solution for a variable-order fractional nonlinear cable equation via Chebyshev cardinal functions, Generalized Anderson model with time-space multiplicative fractional noise, Random Fields with Multifractional Regularity Order on Heterogenous Fractal Domains, On the identification of the pointwise Hölder exponent of the generalized multifractional Brownian motion, Analytical and numerical solutions of a one-dimensional fractional-in-space diffusion equation in a composite medium, Uniqueness in law for stable-like processes of variable order, A characteristic difference method for the variable-order fractional advection-diffusion equation, Diffusion on multifractals, Multifractional Markov Processes in Heterogeneous Domains, Aspects of Micro-Local Analysis and Geometry in the Study of Lévy-Type Generators, Monotone systems involving variable-order nonlocal operators, The Cauchy problem and the martingale problem for integro-differential operators with non-smooth kernels, Numerical methods for solving a two-dimensional variable-order anomalous subdiffusion equation, Variable order differential equations with piecewise constant order-function and diffusion with changing modes, Feller generators with measurable lower order terms, Construction and heat kernel estimates of generalstable-like Markov processes
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A family of Fourier integral operators and the fundamental solution for a Schrödinger equation
- A class of elliptic pseudodifferential operators generating symmetric Dirichlet forms
- Further pseudodifferential operators generating Feller semigroups and Dirichlet forms
- On Besov spaces of variable order of differentiation
- A class of Feller semigroups generated by pseudodifferential operators
- Lp-Estimates for certain non-regular eudo-differential operators.
- On Function Spaces of Variable Order of Differentiation
- Feller semigroups, Dirichlet forms, and pseudo differential operators
- A Class of L p -Bounded Pseudo-Differential Operators