Existence and uniqueness of classical paths under quadratic potentials

DOI10.1007/s00526-020-01791-9zbMath1453.49006OpenAlexW3043550671MaRDI QIDQ786074

Kazuki Narita, Tohru Ozawa

Publication date: 12 August 2020

Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00526-020-01791-9

zbMATH Keywords

minimization problemLagrangean

Mathematics Subject Classification ID

Existence of solutions for minimax problems (49J35) Existence theories for problems in abstract spaces (49J27) Applications of boundary value problems involving ordinary differential equations (34B60) Lagrange's equations (70H03)

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Poincaré inequalities with exact missing terms on homogeneous groups

Cites Work

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• A construction of the fundamental solution for the Schrödinger equation
• Functional analysis, Sobolev spaces and partial differential equations
• Remarks on convergence of the Feynman path integrals
• Schrödinger evolution equations with magnetic fields
• Smoothing effects for Schrödinger evolution equation and global behavior of geodesic flow
• Semi-classical Schrödinger equations with harmonic potential and nonlinear perturbation
• Applied functional analysis. Main principles and their applications
• Rigorous time slicing approach to Feynman path integrals
• Estimates on modulation spaces for Schrödinger evolution operators with quadratic and sub-quadratic potentials
• Global existence results for nonlinear Schrödinger equations with quadratic potentials
• A construction of the fundamental solution of the Schrödinger equation with a perturbed quadratic Hamiltonian
• Hermitian Analysis
• Sharp remainder of the Poincaré inequality

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