$L^2$ estimates for the eigenfunctions corresponding to real eigenvalues of the Tricomi operator

Details $L^2$ estimates for the eigenfunctions corresponding to real eigenvalues of the Tricomi operator $L^2$ estimates for the eigenfunctions corresponding to real eigenvalues of the Tricomi operator

2009-10-05

arxiv.org/abs/0910.0652v1

Mathematics

Analysis of PDEs

2 figures

Scientific paper

For the real eigenvalues of the Tricomi operator we provide $L^2$ estimates
for the corresponding eigenfunctions. In particular, provided that the elliptic
boundary arc of the underlying domain $\Om$ is the normal Tricomi curve, our
result exhibits a dependence of these estimates on the length of the parabolic
segment of $\Om$.

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