On some Schrödinger type equations

DOI10.3792/pjaa.57.81zbMath0469.35039OpenAlexW2020640286MaRDI QIDQ1156938

Sigeru Mizohata

Publication date: 1981

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pjaa.57.81

zbMATH Keywords

evolution equationwave packetsuniform ellipticitywell-posedSchrödinger type equations

Mathematics Subject Classification ID

Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Schrödinger operator, Schrödinger equation (35J10) Initial value problems for second-order parabolic equations (35K15) Initial value problems for linear higher-order PDEs (35G10) Higher-order parabolic equations (35K25)

Related Items (9)

Well-posedness and parabolic smoothing effect for higher order Schrödinger type equations with constant coefficients ⋮ EFFETS RÉGULARISANTS ET EXISTENCE LOCALE POUR L'ÉQUATION DE SCHRÖDINGER NON-LINÉAIRE À COEFFICIENTS VARIABLES ⋮ Necessary conditions for the well-posedness of Schrödinger type equations in Gevrey spaces ⋮ Well-posedness for degenerate Schrödinger equations ⋮ On the Cauchy problem for some non-Kowalewskian equations in \(\mathcal{D}^{[\sigma}_{L^ 2}\)] ⋮ Quasilinear Schrödinger equations. II: Small data and cubic nonlinearities ⋮ Explicit solutions of cylindrical Schrödinger equation with radial potentials ⋮ Wellposedness of some quasi-linear Schrödinger equations ⋮ On \(L^ 2\) well posedness of the Cauchy problem for Schrödinger type equations on the Riemannian manifold and the Maslov theory

Cites Work

• On the Cauchy problem for some non-Kowalewskian equations with distinct characteristic roots
• Quantum mechanics and asymptotic series

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