A necessary condition for \(H^ \infty\)-well-posed Cauchy problem of Schrödinger type equations with variable coefficients

DOI10.1215/KJM/1250519537zbMath0794.35113OpenAlexW1498311804MaRDI QIDQ1202852

Shigeomi Hara

Publication date: 19 April 1993

Published in: Journal of Mathematics of Kyoto University (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1215/kjm/1250519537

zbMATH Keywords

elliptic equationcondition for a unique solution

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) A priori estimates in context of PDEs (35B45) PDEs in connection with quantum mechanics (35Q40) Dynamics induced by flows and semiflows (37C10)

Related Items (4)

Necessary conditions for the well-posedness of Schrödinger type equations in Gevrey spaces ⋮ Blow-up solutions of inhomogeneous nonlinear Schrödinger equations ⋮ Blow up solutions of inhomogeneous nonlinear Schrödinger equations on torus ⋮ Inhomogeneous critical nonlinear Schrödinger equations with a harmonic potential

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