JournalsprimsVol. 52, No. 2pp. 103–139

Singularities of Solutions of Quasilinear Partial Differential Equations in a Complex Domain

  • Keisuke Uchikoshi

    National Defense Academy of Japan, Yokosuka, Kanagawa, Japan
Singularities of Solutions of Quasilinear Partial Differential Equations in a Complex Domain cover
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Abstract

We consider the Cauchy problem for a quasilinear partial diff erential equation of an arbitrary order in a complex domain. We assume that the initial data have singularities along complex submanifolds. We show that if the characteristic roots are distinct, the singularities of the solution propagate along the characteristic complex submanifolds.

Cite this article

Keisuke Uchikoshi, Singularities of Solutions of Quasilinear Partial Differential Equations in a Complex Domain. Publ. Res. Inst. Math. Sci. 52 (2016), no. 2, pp. 103–139

DOI 10.4171/PRIMS/176