Global Existence of Small Solutions to Semilinear Schrödinger Equations with Gauge Invariance | Zendy

Hiroyuki Chihara | Zendy

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Global Existence of Small Solutions to Semilinear Schrödinger Equations with Gauge Invariance

Author(s) -

Hiroyuki Chihara

Publication year - 1995

Publication title -

publications of the research institute for mathematical sciences

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.786

H-Index - 39

eISSN - 1663-4926

pISSN - 0034-5318

DOI - 10.2977/prims/1195163717

Subject(s) - mathematics , a priori and a posteriori , gauge (firearms) , gauge theory , construct (python library) , schrödinger equation , mathematical analysis , schrödinger's cat , mathematical physics , computer science , philosophy , archaeology , epistemology , history , programming language

We present the global existence theorem for semilinear Schrodinger equations satisfying gauge invariance. Combining the local existence results and a priori estimates, we construct global solutions with small initial data. §

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