Zobrazeno 1 - 10
of 228
pro vyhledávání: '"Schwab, A. W."'
Autor:
Abedin, Farhan, Schwab, Russell W.
We establish that the $C^{1,\gamma}$ regularity theory for translation invariant fractional order parabolic integro-differential equations (via Krylov-Safonov estimates) gives an improvement of regularity mechanism for solutions to a special case of
Externí odkaz:
http://arxiv.org/abs/2008.01272
Autor:
Abedin, Farhan, Schwab, Russell W.
Publikováno v:
In Journal of Functional Analysis 15 October 2023 285(8)
In this work we demonstrate that a class of some one and two phase free boundary problems can be recast as nonlocal parabolic equations on a submanifold. The canonical examples would be one-phase Hele Shaw flow, as well as its two-phase analog. We al
Externí odkaz:
http://arxiv.org/abs/1807.02714
Some linear integro-differential operators have old and classical representations as the Dirichlet-to-Neumann operators for linear elliptic equations, such as the 1/2-Laplacian or the generator of the boundary process of a reflected diffusion. In thi
Externí odkaz:
http://arxiv.org/abs/1710.03152
Autor:
Guillen, Nestor, Schwab, Russell W.
In this work, we give a characterization of Lipschitz operators on spaces of $C^2(M)$ functions (also $C^{1,1}$, $C^{1,\gamma}$, $C^1$, $C^\gamma$) that obey the global comparison property-- i.e. those that preserve the global ordering of input funct
Externí odkaz:
http://arxiv.org/abs/1606.08417
Autor:
Guillen, Nestor, Schwab, Russell W.
Publikováno v:
SIAM J. Math. Anal., 50(2), 1679-1719. 2018
We continue the program initiated in a previous work, of applying integro-differential methods to Neumann Homogenization problems. We target the case of linear periodic equations with a singular drift, which includes (with some regularity assumptions
Externí odkaz:
http://arxiv.org/abs/1512.06027
Autor:
Schwab, Russell W., Silvestre, Luis
Publikováno v:
Anal. PDE 9 (2016) 727-772
We prove H\"older regularity for a general class of parabolic integro-differential equations, which (strictly) includes many previous results. We present a proof which avoids the use of a convex envelop as well as give a new covering argument which i
Externí odkaz:
http://arxiv.org/abs/1412.3790
Autor:
Guillen, Nestor, Schwab, Russell W.
In this note we describe how the Neumann homogenization of fully nonlinear elliptic equations can be recast as the study of nonlocal (integro-differential) equations involving elliptic integro-differential operators on the boundary. This is motivated
Externí odkaz:
http://arxiv.org/abs/1403.1980
We prove H\"older regularity results for a class of nonlinear elliptic integro-differential operators with integration kernels whose ellipticity bounds are strongly directionally dependent. These results extend those in [9] and are also uniform as th
Externí odkaz:
http://arxiv.org/abs/1306.0082
Autor:
Kassmann, Moritz, Schwab, Russell W.
We survey recent regularity results for parabolic equations involving nonlocal operators like the fractional Laplacian. We extend the results of Felsinger-Kassmann (2013) and obtain regularity estimates for nonlocal operators with kernels not being a
Externí odkaz:
http://arxiv.org/abs/1305.5418