Fourier Transform and Smoothness of Solutions of a Class of Semilinear Elliptic Degenerate Equations with Double Characteristics

摘要

This paper is a continuation of our earlier note [V. T. T. Hien and N. M. Tri, "Analyticity of Solutions of Semililnear Equations with Double Characteristics." J. Math. Anal. Appl. 337, 1249-126(1 (2008)]. Here we prove the analyticity of solutions of a class of semilinear elliptic degenerate equations with double characteristics by using the Fourier transform.