Zobrazeno 1 - 10
of 325
pro vyhledávání: '"As, Stîngă"'
Autor:
Stinga, P. R., Vaughan, M.
We obtain sharp interior Schauder estimates for solutions to nonlocal Poisson problems driven by fractional powers of nondivergence form elliptic operators $(-a^{ij}(x) \partial_{ij})^s$, for $0
Externí odkaz:
http://arxiv.org/abs/2403.16693
Autor:
Biswas, A., Stinga, P. R.
We prove sharp characterizations of higher order fractional powers $(-L)^s$, where $s>0$ is noninteger, ofgenerators $L$ of uniformly bounded $C_0$-semigroups on Banach spaces via extension problems, which in particular include results of Caffarelli-
Externí odkaz:
http://arxiv.org/abs/2309.12512
We develop an analytic theory of existence and regularity of surfaces (given by graphs) arising from the geometric minimization problem $$\min_{\mathcal{M}}\frac{1}{2}\int_{\mathcal{M}}|\nabla_{\mathcal{M}}H|^2\,dA$$ where $\mathcal{M}$ ranges over a
Externí odkaz:
http://arxiv.org/abs/2301.00082
Autor:
Stinga, P. R.
This paper, that will appear in the Notices of the AMS, begins with a brief historical account of the beginnings of fractional calculus and the crucial roles played by Leibniz and Fourier. Fourier's definition of fractional derivative is introduced a
Externí odkaz:
http://arxiv.org/abs/2212.02279
Autor:
Soria-Carro, M., Stinga, P. R.
We develop the regularity theory of viscosity solutions to transmission problems for fully nonlinear second order uniformly elliptic equations. Our results give a complete theory of existence, uniqueness, comparison principle, and regularity of solut
Externí odkaz:
http://arxiv.org/abs/2207.13772
First, we establish the theory of fractional powers of first order differential operators with zero order terms, obtaining PDE properties and analyzing the corresponding fractional Sobolev spaces. In particular, our study shows that Lebesgue and Sobo
Externí odkaz:
http://arxiv.org/abs/2205.00050
Autor:
Biswas, Animesh, Stinga, Pablo Raúl
Publikováno v:
In Journal of Functional Analysis 1 August 2024 287(3)
Autor:
Stîngă, Gabriela, Băran, Adriana, Iovescu, Alina, Maxim, Monica Elisabeta, Jerca, Victor Valentin
Publikováno v:
In Journal of Molecular Liquids 15 July 2024 406
Fractional elliptic equations in nondivergence form: definition, applications and Harnack inequality
Autor:
Stinga, P. R., Vaughan, M.
We define the fractional powers $L^s=(-a^{ij}(x)\partial_{ij})^s$, $0 < s < 1$, of nondivergence form elliptic operators $L=-a^{ij}(x)\partial_{ij}$ in bounded domains $\Omega\subset\mathbb{R}^n$, under minimal regularity assumptions on the coefficie
Externí odkaz:
http://arxiv.org/abs/2012.14779
Publikováno v:
Arch. Ration. Mech. Anal. 240 (2021), no. 1, 265--294
We study existence, uniqueness, and optimal regularity of solutions to transmission problems for harmonic functions with $C^{1,\alpha}$ interfaces. For this, we develop a novel geometric stability argument based on the mean value property.
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Externí odkaz:
http://arxiv.org/abs/2004.07322