We give a general theory of the Cauchy problems for various types of operators, containing hyperbolic operators, elliptic operators, and mixed-type operators. We will give a necessary and sufficient condition for the Cauchy problems to be well-posed.
Cite this article
Keisuke Uchikoshi, Cauchy Problems for Mixed-Type Operators. Publ. Res. Inst. Math. Sci. 36 (2000), no. 2, pp. 191–230DOI 10.2977/PRIMS/1195143101