We give the fundamental solution of the Tricomi operator Tu=y(u_(x_1x_1)+u_(x_2x_2))+u_(yy)=0.(Ⅰ) It has stronger singularity than Tu=yu_(xx)+u_(yy)=0.We indicate that it is necessary to introduce the principal part of Cauchy integral to define the fundamental solution in the theory of distribution.
Ai Fang QU.
The Fundamental Solution for the Tricomi Operator. Acta Mathematica Sinica, Chinese Series, 2008, 51(4): 625-632 https://doi.org/10.12386/A2008sxxb0074