Critical SQG in bounded domains
Analysis of PDEs
2016-07-12 v1
Abstract
We consider the critical dissipative SQG equation in bounded domains, with the square root of the Dirichlet Laplacian dissipation. We prove global a priori interior Cα and Lipschitz bounds for large data.
Cite
@article{arxiv.1607.02990,
title = {Critical SQG in bounded domains},
author = {Peter Constantin and Mihaela Ignatova},
journal= {arXiv preprint arXiv:1607.02990},
year = {2016}
}
Related papers
View all related →
Analysis of PDEs · Mathematics
Estimates near the boundary for critical SQG
Peter Constantin, Mihaela Ignatova
2019-11-11
Analysis of PDEs · Mathematics
Local and global strong solutions for SQG in bounded domains
Peter Constantin, Huy Quang Nguyen
2018-08-01
Analysis of PDEs · Mathematics
Holder Regularity up to the Boundary for Critical SQG on Bounded Domains
Logan Stokols, Alexis Vasseur
2020-02-14
Analysis of PDEs · Mathematics
Remarks on the fractional Laplacian with Dirichlet boundary conditions and applications
Peter Constantin, Mihaela Ignatova
2015-11-03
Analysis of PDEs · Mathematics
An overview on constrained critical points of Dirichlet integrals
Lorenzo Brasco, Giovanni Franzina
2019-07-02
Analysis of PDEs · Mathematics
Global regularity for critical SQG in bounded domains
Peter Constantin, Mihaela Ignatova, Quoc-Hung Nguyen
2023-12-20
Analysis of PDEs · Mathematics
On the Dirichlet problem for Lagrangian phase equation with critical and supercritical phase
Siyuan Lu
2023-02-14
Analysis of PDEs · Mathematics
Unique existence of solutions to the inviscid SQG equation in a critical space
Tsukasa Iwabuchi
2026-04-21
Analysis of PDEs · Mathematics
Global existence for the critical dissipative surface quasi-geostrophic equation
Omar Lazar
2015-06-11
Analysis of PDEs · Mathematics
Gradient estimates for the Lagrangian mean curvature equation with critical and supercritical phase
Arunima Bhattacharya, Connor Mooney, Ravi Shankar
2022-05-27
Analysis of PDEs · Mathematics
Ill-posedness of the Dirichlet problem for 2D Lagrangian mean curvature equation
Wentao Cao, Zhehui Wang
2025-12-11
Analysis of PDEs · Mathematics
On the Dirichlet Fractional Laplacian and Applications to the SQG Equation on Bounded Domains
Elie Abdo, Quyuan Lin
2024-09-10
Analysis of PDEs · Mathematics
A simple proof of the generalized Leibniz rule on bounded Euclidean domains
Quoc-Hung Nguyen, Yannick Sire, Juan-Luis Vazquez
2021-08-24
Analysis of PDEs · Mathematics
Global and local existence for the dissipative critical SQG equation with small oscillations
Omar Lazar
2015-06-04
Analysis of PDEs · Mathematics
Hamiltonian compactness and dissipation for the generalized SQG equation in the inviscid limit
Luigi De Rosa, Utku Kemal Yuzbasioglu
2026-04-22
Analysis of PDEs · Mathematics
Estimate on the dimension of the singular set of the supercritical surface quasigeostrophic equation
Maria Colombo, Silja Haffter
2020-12-23
Analysis of PDEs · Mathematics
Fractional boundary Hardy inequality for the critical cases
Adimurthi, Prosenjit Roy, Vivek Sahu
2026-02-12
Analysis of PDEs · Mathematics
On analyticity up to the boundary for critical quasi-geostrophic equations
Tsukasa Iwabuchi
2021-09-15
Analysis of PDEs · Mathematics
Global weak solutions for SQG in bounded domains
Peter Constantin, Huy Quang Nguyen
2016-12-09
Analysis of PDEs · Mathematics
Computing eigenvalues of the Laplacian on rough domains
Frank Rösler, Alexei Stepanenko
2023-08-02
Analysis of PDEs · Mathematics
The Dirichlet problem for the Laplacian in Lipschitz domain. Abstract
Cherif Amrouche, Mohand Moussaoui
2023-06-06
Analysis of PDEs · Mathematics
Global existence for energy critical waves in 3-D domains
Nicolas Burq, Gilles Lebeau, Fabrice Planchon
2007-05-23
Analysis of PDEs · Mathematics
The Dirichlet problem for the $p(x)$-Laplacian with unbounded exponent $p(x)$
M. Khamsi, J. Lang, O. Mendez, A. Nekvinda
2024-05-27
Analysis of PDEs · Mathematics
On Dirichlet problem for fractional $p$-Laplacian with singular nonlinearity
Tuhina Mukherjee, K. Sreenadh
2016-05-04
Analysis of PDEs · Mathematics
A priori estimates for some elliptic equations involving the $p$-Laplacian
Lucio Damascelli, Rosa Pardo
2017-09-19