On the Gevrey Regularity of Solutions of a Class of Semilinear Elliptic Degenerate Equations on the Plane

J. Math. Sci. Univ. Tokyo
Vol. 9 (2002), No. 2, Page 217--255.

Tri, Nguyen Minh
On the Gevrey Regularity of Solutions of a Class of Semilinear Elliptic Degenerate Equations on the Plane
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Abstract:
We investigate the Gevrey regularity (in particular, the analyticity) of solutions of semilinear elliptic degenerate equations on the plane. The method is based on constructing explicit formulas for fundamental solutions and the Friedman effect near boundary.

Mathematics Subject Classification (1991): Primary 35H99; Secondary 35A08, 35B65, 35C15, 35J70
Mathematical Reviews Number: MR1904931

Received: 2000-10-11