A Mini-course on EllipticâHyperbolic Equations - ICMS
A Mini-course on EllipticâHyperbolic Equations - ICMS
A Mini-course on EllipticâHyperbolic Equations - ICMS
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Example of the weaker regularity of equati<strong>on</strong>s of Keldyshtype:Fundamental soluti<strong>on</strong>s are the main ingredient for solving theDirichlet problem by the Green’s functi<strong>on</strong> method.A fundamental soluti<strong>on</strong> exists for the Tricomi equati<strong>on</strong>[Barros-Neto & Gelfand, Duke Math. J. 98(1999)].A fundamental soluti<strong>on</strong> exists for the Keldysh equati<strong>on</strong> <strong>on</strong>ly as thefinite part of a divergent improper integral [S-X. Chen, Sci. inChina, Ser. A: Math. 52 (2009)].