Global existence of the solution of nonlinear Schrödinger equations in exterior domains

DOI10.1007/BF01666739zbMath0641.35011OpenAlexW1963816781MaRDI QIDQ1100621

Yunmei Chen

Publication date: 1985

Published in: Acta Mathematicae Applicatae Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01666739

zbMATH Keywords

nonlinear Schrödinger equationunique global solutionsmoothness

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Stability in context of PDEs (35B35) Boundary value problems for nonlinear higher-order PDEs (35G30) Schrödinger operator, Schrödinger equation (35J10) Partial differential equations of mathematical physics and other areas of application (35Q99)

Related Items

Unnamed Item, Smoothing effect for nonlinear Schrödinger equations in exterior domains, Trudinger type inequalities and uniqueness of weak solutions for the nonlinear Schrödinger mixed problem, Global existence of small radially symmetric solutions to quadratic nonlinear evolution equations in an exterior domain

Cites Work

• Unnamed Item
• On the spectral theory of elliptic differential operators. I
• The initial value problem for the equations of motion of viscous and heat-conductive gases
• Global solutions of the nonlinear schrödinger equation in exterior domains
• Nonlinear Schrödinger evolution equations
• Elliptic Partial Differential Equations of Second Order