Minimal blow-up solutions of mass-critical inhomogeneous Hartree equation

DOI10.1063/1.4850879zbMath1287.35096OpenAlexW1990247709MaRDI QIDQ5412792

Yiming Su, Dao-Min Cao

Publication date: 28 April 2014

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.4850879

zbMATH Keywords

blow-up solutionsinhomogeneous Hartree equation

Mathematics Subject Classification ID

Blow-up in context of PDEs (35B44) Integro-partial differential equations (35R09)

Related Items

Existence and blow-up behavior of constrained minimizers for Schrödinger-Poisson-Slater system, Minimizers of mass critical Hartree energy functionals in bounded domains, Limit behavior of mass critical Hartree minimization problems with steep potential wells, Ground states of pseudo-relativistic boson stars under the critical stellar mass, Uniqueness of ground states for nonlinear Hartree equations, Normalized solutions and asymptotical behavior of minimizer for the coupled Hartree equations, Existence and asymptotical behavior of the minimizer of Hartree type equation with periodic potentials, The Lieb-Yau conjecture for ground states of pseudo-relativistic Boson stars, On the existence and limit behavior of ground states for two coupled Hartree equations, Constraint minimizers of mass critical Hartree energy functionals: Existence and mass concentration, Construction of minimal mass blow-up solutions to rough nonlinear Schrödinger equations

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On stability of pseudo-conformal blowup for \(L^{2}\)-critical Hartree NLS
• Global well-posedness and scattering for the defocusing \(H^{\frac 1 2}\)-subcritical Hartree equation in \(\mathbb R^d\)
• Nonlinear Schrödinger equations and sharp interpolation estimates
• Classification of positive solitary solutions of the nonlinear Choquard equation
• Global well-posedness and scattering for the mass-critical Hartree equation with radial data
• Global well-posedness for the \(L^2\)-critical hartree equation on \(\mathbb{R}^n,\;n\geq 3\)
• Nonlinear scattering with nonlocal interaction
• Determination of blow-up solutions with minimal mass for nonlinear Schrödinger equations with critical power
• An eigenvalue problem for the Schrödinger-Maxwell equations
• Long range scattering and modified wave operators for some Hartree type equations. II
• Solutions of Hartree-Fock equations for Coulomb systems
• Blow-up solutions of inhomogeneous nonlinear Schrödinger equations
• The Schrödinger-Poisson equation under the effect of a nonlinear local term
• Groundstates of nonlinear Choquard equations: existence, qualitative properties and decay asymptotics
• Divergent solutions to the 5D Hartree equations
• GROUND STATE MASS CONCENTRATION IN THE L²-CRITICAL NONLINEAR HARTREE EQUATION BELOW H¹
• On the structure and formation of singularities in solutions to nonlinear dispersive evolution equations
• Some remarks on Hartree equation
• On the Vlasov hierarchy
• Existence and Uniqueness of the Minimizing Solution of Choquard's Nonlinear Equation
• On the blowing up of solutions to the Cauchy problem for nonlinear Schrödinger equations
• Inhomogeneous critical nonlinear Schrödinger equations with a harmonic potential
• On the blow-up phenomenon for the mass-critical focusing Hartree equation in R⁴
• Existence and uniqueness of minimal blow-up solutions to an inhomogeneous mass critical NLS
• Blowup for nonlinear wave equations describing boson stars
• Scattering Theory Below Energy for a Class of Hartree Type Equations