Comparison theorems for the one-dimensional Schrödinger equation

DOI10.1007/BF02384788zbMath1100.34026MaRDI QIDQ2368548

Leonid V. Kovalev

Publication date: 21 April 2006

Published in: Arkiv för Matematik (Search for Journal in Brave)

zbMATH Keywords

Schrödinger equationmonotone rearrangementscomparisun theorems

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Growth and boundedness of solutions to ordinary differential equations (34C11)

Cites Work

• Optimization and rearrangements of the coefficient in the operator \(d^ 2/dt^ 2-p(t)^ 2\) on a finite interval
• Spherical rearrangements, subharmonic functions, and \(\ast\)-functions in \(n\)-space
• Optimization and α-Disfocality for Ordinary Differential Equations
• On beurling's theorem for harmonic measure and the rings of saturn
• An approach to symmetrization via polarization
• Generalized Isoperimetric Inequalities
• Properties of Conformal Invariants