538 citations
- University of EdinburghGB577 papers
- Heriot-Watt UniversityGB436 papers
- Pennsylvania State UniversityUS35 papers
- University of CambridgeGB31 papers
- Centre National de la Recherche ScientifiqueFR30 papers
- University of SurreyGB30 papers
- Imperial College LondonGB24 papers
- KTH Royal Institute of TechnologySE22 papers
- University of OxfordGB21 papers
- Leibniz University HannoverDE20 papers
- Charles UniversityCZ19 papers
- ETH ZurichCH14 papers
7 papers · 2 filters
Global well-posedness of the 4-d energy-critical stochastic nonlinear Schrödinger equations with non-vanishing boundary condition
Kelvin Cheung, Guopeng Li
We consider the energy-critical stochastic cubic nonlinear Schrödinger equation on with additive noise, and with the non-vanishing boundary conditions at spatial infi…
Extrapolation of the Dirichlet problem for elliptic equations with complex coefficients
Martin Dindoš, Jill Pipher
In this paper, we prove an extrapolation result for complex coefficient divergence form operators that satisfy a strong ellipticity condition known as -{\it ellipticity}. Specif…
A remark on norm inflation for nonlinear wave equations
Justin Forlano, Mamoru Okamoto
In this note, we study the ill-posedness of nonlinear wave equations (NLW). Namely, we show that NLW experiences norm inflation at every initial data in negative Sobolev spaces. Th…
On -Solvability of Stochastic Integro-Differential Equations
István Gyöngy, Sizhou Wu
A class of (possibly) degenerate stochastic integro-differential equations of parabolic type is considered, which includes the Zakai equation in nonlinear filtering for jump diffus…
On the stochastic nonlinear Schrödinger equations at critical regularities
Tadahiro Oh, Mamoru Okamoto
We consider the Cauchy problem for the defocusing stochastic nonlinear Schrödinger equations (SNLS) with an additive noise in the mass-critical and energy-critical settings. By ada…
Stability for linearized gravity on the Kerr spacetime
Lars Andersson, Thomas Bäckdahl, Pieter Blue +1
In this paper we prove integrated energy and pointwise decay estimates for solutions of the vacuum linearized Einstein equation on the domain of outer communication of the Kerr bla…