Existence of a principal eigenvalue for the Tricomi problem

The existence of a principal eigenvalue is established for the Tricomi problem in normal domains; that is, the existence of a positive eigenvalue of minimum modulus with an associated positive eigenfunction. The argument here uses prior results of the authors on the generalized solvability in weight...

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Bibliographic Details
Published inElectronic journal of differential equations Vol. Conference; no. 5; pp. 173 - 180
Main Authors Daniela Lupo, Kevin R. Payne
Format Journal Article
LanguageEnglish
Published Texas State University 01.10.2000
Subjects
maximum principle
mixed type equations
principal eigenvalue
spectral theory
Tricomi problem
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Summary:The existence of a principal eigenvalue is established for the Tricomi problem in normal domains; that is, the existence of a positive eigenvalue of minimum modulus with an associated positive eigenfunction. The argument here uses prior results of the authors on the generalized solvability in weighted Sobolev spaces and associated maximum/minimum principles cite{[LP2]} coupled with known results of Krein-Rutman type.
ISSN:1072-6691