Zobrazeno 1 - 10
of 49
pro vyhledávání: '"Schwab, Russell"'
In this article, we apply the viscosity solutions theory for integro-differential equations to the \emph{one-phase} Muskat equation (also known as the Hele-Shaw problem with gravity). We prove global well-posedness for the corresponding Hamilton-Jaco
Externí odkaz:
http://arxiv.org/abs/2404.10972
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)
Autor:
Guillen, Nestor, Schwab, Russell
Publikováno v:
Nonlinear Analysis, 2019
An operator satisfies the Global Comparison Property if anytime a function touches another from above at some point, then the operator preserves the ordering at the point of contact. This is characteristic of degenerate elliptic operators, including
Externí odkaz:
http://arxiv.org/abs/1812.09642
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
In this dissertation we prove the homogenization for two very different classes of nonlinear partial differential equations and nonlinear elliptic integro-differential equations. The first result covers the homogenization of convex and superlinear Ha
Externí odkaz:
http://hdl.handle.net/2152/18416
Autor:
Schwab, Russell William
Thesis (Ph. D.)--University of Texas at Austin, 2009.
Title from PDF title page (University of Texas Digital Repository, viewed on Sept. 9, 2009). Vita. Includes bibliographical references.
Title from PDF title page (University of Texas Digital Repository, viewed on Sept. 9, 2009). Vita. Includes bibliographical references.