Zobrazeno 1 - 10
of 144
pro vyhledávání: '"Chanillo, Sagun"'
Autor:
Chanillo, Sagun
We establish a link between Muckenhoupt $A_p$ weights and a means to address small divisor problems. We use this link to obtain a quantitative version of the Ehrenpreis-Malgrange theorem of local solvability for constant coefficient PDE. We give an e
Externí odkaz:
http://arxiv.org/abs/2407.19522
Autor:
Chanillo, Sagun
In this paper we study resonances and eigenvalues for the nonlinear constant mean curvature eqn. linearized around the bubbles found by Brezis-Coron. This nonlinear eqn. is also called a H-system eqn. For degree one bubbles(the degree relates to a ce
Externí odkaz:
http://arxiv.org/abs/2210.04580
Autor:
Chanillo, Sagun, Malchiodi, Andrea
We prove a conjecture in fluid dynamics concerning optimal bounds for heat transportation in the infinite Prandtl number limit. Due to a maximum principle property for the temperature exploited by Constantin-Doering and Otto-Seis, this amounts to pro
Externí odkaz:
http://arxiv.org/abs/2001.01662
Autor:
Chanillo, Sagun, Van Schaftingen, Jean
Publikováno v:
Pure Appl. Funct. Anal. 5 (2020), n. 4, 891-897
We show how the amplitude of holonomies on a vector bundle can be controlled by the integral of the curvature of the connection on a surface enclosed by the curve.
Comment: 6 pages
Comment: 6 pages
Externí odkaz:
http://arxiv.org/abs/1905.01869
We study nonlinear wave equations on $\mathbb R^{2+1}$ with quadratic derivative nonlinearities, which include in particular nonlinearities exhibiting a null form structure, with random initial data in $H_x^1\times L^2_x$. In contrast to the countere
Externí odkaz:
http://arxiv.org/abs/1710.09346
Publikováno v:
Pacific J. Math. 292 (2018) 293-303
By methods based on elementary Linear Algebra we obtain sharp constants in cases of the Caffarelli-Kohn-Nirenberg inequality via quasi-conformal changes of variables. Some of our results were obtained earlier by Lam and Lu. Our proofs are radical sim
Externí odkaz:
http://arxiv.org/abs/1701.00901
Publikováno v:
Chinese Ann. Math. Ser. B 38 (2017), no. 1, 235-252
We offer a variant of a proof of a borderline Bourgain-Brezis Sobolev embedding theorem on $\mathbb{R}^n$. We use this idea to extend the result to real hyperbolic spaces $\mathbb{H}^n$.
Comment: 21 pages; to appear in a Special Issue of Chinese
Comment: 21 pages; to appear in a Special Issue of Chinese
Externí odkaz:
http://arxiv.org/abs/1612.02888
Publikováno v:
J. Funct. Anal. 273 (2017), no. 4, 1504-1547
Let M be a globally Riemannian symmetric space. We prove a duality estimate between pairings of vector fields with divergence zero and and in L^1 with vector fields in a critical Sobolev space on M. As a consequence we get a sharp Calderon-Zygmund es
Externí odkaz:
http://arxiv.org/abs/1610.00503
Publikováno v:
C. R. Math. Acad. Sci. Paris 354 (2016), n{\deg}1, 51-55
We apply the borderline Sobolev inequalities of Bourgain-Brezis to the vorticity equation and Navier-Stokes equation in 2D. We take the initial vorticity to be in the space of functions of Bounded variation(BV). We obtain the subsequent vorticity to
Externí odkaz:
http://arxiv.org/abs/1509.01472
For CR structures in dimension three, the CR pluriharmonic functions are characterized by the vanishing of a third order operator. This third order operator, after composition with the divergence operator, gives the fourth order analogue of the Panei
Externí odkaz:
http://arxiv.org/abs/1502.01992