Nonlocal Diffusion Equations with Integrable Kernels
نویسندگان
چکیده
منابع مشابه
Nonlocal nonlinear advection-diffusion equations
We review some results about nonlocal advection-diffusion equations based on lower bounds for the fractional Laplacian. To Haim, with respect and admiration.
متن کاملOn Nonlinear Nonlocal Diffusion Equations
This is a study of a class of nonlocal nonlinear diffusion equations (NNDEs). We present several new qualitative results for nonlocal Dirichlet problems. It is shown that solutions with positive initial data remain positive through time, even for nonlinear problems; in addition, we prove that solutions to these equations obey a strong maximum principle. A striking result shows that nonlocal sol...
متن کاملAsymptotic Behavior for Nonlocal Diffusion Equations
We study the asymptotic behavior for nonlocal diffusion models of the form ut = J ∗ u − u in the whole R or in a bounded smooth domain with Dirichlet or Neumann boundary conditions. In R we obtain that the long time behavior of the solutions is determined by the behavior of the Fourier transform of J near the origin, which is linked to the behavior of J at infinity. If Ĵ(ξ) = 1 − A|ξ| + o(|ξ|) ...
متن کاملHölder Estimates for Nonlocal-diffusion Equations with Drifts
We study a class of nonlocal-diffusion equations with drifts, and derive a priori Φ-Hölder estimate for the solutions by using a purely probabilistic argument, where Φ is an intrinsic scaling function for the equation.
متن کاملCOLLOCATION METHOD FOR FREDHOLM-VOLTERRA INTEGRAL EQUATIONS WITH WEAKLY KERNELS
In this paper it is shown that the use of uniform meshes leads to optimal convergence rates provided that the analytical solutions of a particular class of Fredholm-Volterra integral equations (FVIEs) are smooth.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Notices of the American Mathematical Society
سال: 2020
ISSN: 0002-9920,1088-9477
DOI: 10.1090/noti2138