Über die Ecken des numerischen Wertebereches in einer Banachalgebra.
Über die Ecken des numerischen Wertebereiches in einer Banachalgebra. II.
Spektrum, numerischer Wertebereich und ihre Maximumprinzipien in Banachalgebren.
On a semilinear variational problem
We provide a detailed analysis of the minimizers of the functional , , subject to the constraint . This problem,, describes the long-time behavior of the parabolic Anderson in probability theory or ground state solutions of a nonlinear Schrödinger equation. While existence can be proved with standard methods, we show that the usual uniqueness results obtained with PDE-methods can be considerably simplified by additional variational arguments. In addition, we investigate qualitative properties...
Qualitative properties of a continuum theory for thin films
On a semilinear variational problem
We provide a detailed analysis of the minimizers of the functional , , subject to the constraint . This problem, , describes the long-time behavior of the parabolic Anderson in probability theory or ground state solutions of a nonlinear Schrödinger equation. While existence can be proved with standard methods, we show that the usual uniqueness results obtained with PDE-methods can be considerably simplified by additional variational arguments. In addition, we investigate qualitative properties...
Quasi-normal modes of stars and black holes.
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