Existence of a principal eigenvalue for the Tricomi problem

Electronic Journal of Differential Equations

关键词: Tricomi problem;    mixed type equations;    spectral theory;    principal eigenvalue;    maximum principle.;   

DOI  :  

来源: DOAJ

【 摘 要 】

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.

【 授权许可】

Unknown