Article citationsMore>>

Iorio, R. and Iorio, V. (2002) Fourier Analysis and Partial Differential Equations. Cambridge University Press, Cambridge.
https://doi.org/10.1017/CBO9780511623745

has been cited by the following article:

• TITLE: Semigroup of Weakly Continuous Operators Associated to a Generalized Schrödinger Equation

  AUTHORS: Yolanda Silvia Santiago Ayala

  KEYWORDS: Semigroups Theory, Weakly Continuous Operators, Existence of Solution, Generalized Schrödinger Equation, Distributional Problem, Periodic Distributional Space

  JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.11 No.4, April 28, 2023

  ABSTRACT: In this work, we prove the existence and uniqueness of the solution of the generalized Schrödinger equation in the periodic distributional space P’. Furthermore, we prove that the solution depends continuously respect to the initial data in P’. Introducing a family of weakly continuous operators, we prove that this family is a semigroup of operators in P’. Then, with this family of operators, we get a fine version of the existence and dependency continuous theorem obtained. Finally, we provide some consequences of this study.