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Estimates of solutions of the Cauchy problem for equations of Schrödinger type in the spaces Lpαand Bpqα. I

✍ Scribed by P. Shlekis


Publisher
Springer
Year
1988
Tongue
English
Weight
614 KB
Volume
27
Category
Article
ISSN
0363-1672

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✍ Cuihua Guo; Shangbin Cui 📂 Article 📅 2008 🏛 Elsevier Science 🌐 English ⚖ 274 KB 👁 1 views

We study the existence of solutions for the Cauchy problem of the non-isotropically perturbed nonlinear Schrödinger equation where a, b are not simultaneously vanishing real constants, α is a positive constant, and x = (x 1 , x 2 ) ∈ R 2 . By using Kato's method, we establish some local existence r