Zobrazeno 1 - 10
of 40 479
pro vyhledávání: '"Mathematics::Analysis of PDEs"'
Publikováno v:
Linear Algebra and its Applications. 672:108-121
The Kato's decomposition \cite[Theorem 4]{kato} is generalized to semi-B-Fredholm operators.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ba4906cf35142842707dcffe6fcfde6f
https://doi.org/10.1016/j.laa.2023.04.013
https://doi.org/10.1016/j.laa.2023.04.013
Publikováno v:
Journal of Differential Equations. 364:107-151
We establish short-time existence of solutions to the surface quasi-geostrophic equation in both the Hölder spaces $C^r(\mathbb{R}^2)$ for $r>1$ and the uniformly local Sobolev spaces $H^s_{ul}(\mathbb{R}^2)$ for $s\geq 3$. Using methods similar to
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::9f383e83cd4b69233c2c891f2daec11e
https://doi.org/10.1016/j.jde.2023.03.019
https://doi.org/10.1016/j.jde.2023.03.019
Autor:
Jie Xu
Publikováno v:
Journal of Differential Equations. 358:147-176
We introduce an iterative method to prove the existence and uniqueness of the complex-valued nonlinear elliptic PDE of the form $ -\Delta u + F(u) = f $ with Dirichlet or Neumann boundary conditions on a precompact domain $ \Omega \subset \mathbb{R}^
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a75f33c0917b643ef8716d07c408fed4
https://doi.org/10.1016/j.jde.2023.01.045
https://doi.org/10.1016/j.jde.2023.01.045
Autor:
Joe Jackson
Publikováno v:
Stochastic Processes and their Applications. 160:1-32
In this paper, we study the connections between three concepts - the reverse H\"older inequality for matrix-valued martingales, the well-posedness of linear BSDEs with unbounded coefficients, and the well-posedness of quadratic BSDE systems. In parti
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d4d8169c9099e7d45130266a011de4e1
https://doi.org/10.1016/j.spa.2023.02.011
https://doi.org/10.1016/j.spa.2023.02.011
Publikováno v:
Mathematical Models and Methods in Applied Sciences. :1-55
The stationary Navier–Stokes equations for a non-Newtonian incompressible fluid are coupled with the stationary heat equation and subject to Dirichlet-type boundary conditions. The viscosity is supposed to depend on the temperature and the stress d
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::bbee34268d757a13e3a4c05306ede801
https://doi.org/10.1142/s0218202523500410
https://doi.org/10.1142/s0218202523500410
Autor:
Li, Houwang, Zou, Wenming
Publikováno v:
Pacific Journal of Mathematics. 322:99-138
In the present paper, we study the normalized solutions for the following quasilinear Schr\"odinger equations: $$-\Delta u-u\Delta u^2+\lambda u=|u|^{p-2}u \quad \text{in}~\mathbb R^N,$$ with prescribed mass $$\int_{\mathbb R^N} u^2=a^2.$$ We first c
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::2516da8240b40c26aaa6833596a3f497
https://doi.org/10.2140/pjm.2023.322.99
https://doi.org/10.2140/pjm.2023.322.99
Publikováno v:
Journal of Differential Equations. 356:163-187
We establish sharp-in-time kernel and dispersive estimates for the Schr\"odinger equation on non-compact Riemannian symmetric spaces of any rank. Due to the particular geometry at infinity and the Kunze-Stein phenomenon, these properties are more pro
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::261d33b41ed390535f66b54aae98df8d
https://doi.org/10.1016/j.jde.2023.02.003
https://doi.org/10.1016/j.jde.2023.02.003
Autor:
Senik, Nikita N.
Publikováno v:
SIAM Journal on Mathematical Analysis. 55:849-881
Let $\Omega$ be a Lipschitz domain in $\mathbb R^d$, and let $\mathcal A^\varepsilon=-\operatorname{div}A(x,x/\varepsilon)\nabla$ be a strongly elliptic operator on $\Omega$. We suppose that $\varepsilon$ is small and the function $A$ is Lipschitz in
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::dace8b3545c6d66c63d6c1d579ec7220
https://doi.org/10.1137/21m1419337
https://doi.org/10.1137/21m1419337
Publikováno v:
Journal of Spectral Theory. 12:1079-1108
In this paper, we study the Dirichlet-to-Neumann operators on infinite subgraphs of graphs. For an infinite graph, we prove Cheeger-type estimates for the bottom spectrum of the Dirichlet-to-Neumann operator, and the higher order Cheeger estimates fo
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f18ac9aff058ab0390241144f67bfcaa
https://doi.org/10.4171/jst/427
https://doi.org/10.4171/jst/427
Autor:
Bulut, Aynur
Publikováno v:
American Journal of Mathematics. 145:543-567
We establish quantitative blow-up criteria below the scaling threshold for radially symmetric solutions to the defocusing nonlinear Schr\"odinger equation with nonlinearity $|u|^6u$. This provides to our knowledge the first generic results distinguis
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::03a0712005db74859bd92cadd9718b31
https://doi.org/10.1353/ajm.2023.0013
https://doi.org/10.1353/ajm.2023.0013