Necessary conditions for the well-posedness of Schrödinger type equations in Gevrey spaces

DOI10.1016/S0007-4497(03)00026-5zbMath1027.35020MaRDI QIDQ1408356

Michael Dreher

Publication date: 15 September 2003

Published in: Bulletin des Sciences Mathématiques (Search for Journal in Brave)

zbMATH Keywords

Nonselfadjoint lower order term

Mathematics Subject Classification ID

Initial value problems for linear higher-order PDEs (35G10) Noncompact semigroups, dispersive equations, perturbations of infinite-dimensional dissipative dynamical systems (37L50)

Related Items

The Cauchy problem for 3-evolution equations with data in Gelfand-Shilov spaces ⋮ Well-posedness for degenerate Schrödinger equations ⋮ The interplay between decay of the data and regularity of the solution in Schrödinger equations

Cites Work

• Unnamed Item
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• Some remarks on the Cauchy problem for Schrödinger type equations
• On some Schrödinger type equations
• A necessary condition for \(H^ \infty\)-well-posed Cauchy problem of Schrödinger type equations with variable coefficients
• On the Cauchy problem for Schrödinger type equations and Fourier integral operators
• On a necessary condition for \(L^ 2\) well-posedness of the Cauchy problem for some Schrödinger type equations with a potential term
• On the Cauchy problem for Schrödinger type equations and the regularity of solutions
• The Cauchy problem for Schrödinger type equations
• Remarks on pseudo-differential operators
• Sufficient condition on H_∞well poeesne for schrodinger type equations
• A necessary condition or the well-posedness of the Cauchy problem or a certain class of evolution equations
• Remarks on the cauchy problem for schrödinger-type equations
• ON THE CAUCHY PROBLEM FOR SOME PSEUDO-DIFFERENTIAL EQUATIONS OF SCHRÖDINGER TYPE
• The Cauchy problem for Schrödinger type equations with variable coefficients