The Solvability of the Initial-Boundary Value Problems for a Nonlinear Schrödinger Equation with a Special Gradient Term
DOI:
https://doi.org/10.15407/mag14.02.214Анотація
У статтi розглядаються початково-крайовi задачi для двовимiрного нелiнiйного рiвняння Шредiнгера iз спецiальним градiєнтним членом з чисто уявними коефiцiєнтами в нелiнiйнiй частинi, коли коефiцiєнти рiвняння є вимiрними обмеженими функцiями. Доведено iснування i єднiсть розв'язкiв першої i другої початково-крайової задачi майже скрiзь.
Mathematical Subject Classification: 35D, 35M, 35Q.
Ключові слова:
рiвняння Шредiнгера, спецiальний градiєнтний член, iснування i єднiсть, перша i друга початково-крайовi задачi.Посилання
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