Daniela Lupo & Kevin R. Payne
Abstract:
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 [17] coupled with known results
of Krein-Rutman type.
Published October 25, 2000.
Math Subject Classifications: 35M10, 35P05, 35B10.
Key Words: Tricomi problem, mixed type equations, spectral theory,
principal eigenvalue, maximum principle.
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Daniela Lupo Dipartimento di Matematica Politecnico di Milano Piazza Leonardo da Vinci, 32 20133 Milano, Italy e-mail: danlup@mate.polimi.it |
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Kevin R. Payne Dipartimento di Matematica Politecnico di Milano Piazza Leonardo da Vinci, 32 20133 Milano, Italy e-mail: paynek@mate.polimi.it |
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