Mizohata, Sigeru On some Schrödinger type equations. (English) Zbl 0469.35039 Proc. Japan Acad., Ser. A 57, 81-84 (1981). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 1 ReviewCited in 9 Documents MSC: 35J10 Schrödinger operator, Schrödinger equation 35G10 Initial value problems for linear higher-order PDEs 35K25 Higher-order parabolic equations 35K15 Initial value problems for second-order parabolic equations 35B30 Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs Keywords:Schrödinger type equations; evolution equation; uniform ellipticity; well-posed; wave packets × Cite Format Result Cite Review PDF Full Text: DOI References: [1] G. D. Birkhoff: Quantum mechanics and asymptotic series. Bull. Amer. Math. Soc, 39, 681-700 (1939). · Zbl 0008.08902 · doi:10.1090/S0002-9904-1933-05716-6 [2] V. P. Maslov: Theory of Perturbations and Asymptotic Methods. Moscow (1965). [3] J. Takeuchi: On the Cauchy problem for some non-kowalewskian equations with distinct characteristic roots. J. Math. Kyoto Univ., 20, 105-124 (1980). · Zbl 0534.35017 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.