OPTIMAL ESTIMATES IN MUSIELAK-ORLICZ SPACES FOR A PARABOLIC SCHRODINGER EQUATION

Please use this identifier to cite or link to this item: https://digital.lib.ueh.edu.vn/handle/UEH/73991

Title:	OPTIMAL ESTIMATES IN MUSIELAK-ORLICZ SPACES FOR A PARABOLIC SCHRODINGER EQUATION
Author(s):	Le Xuan Truong
Keywords:	Parabolic Schrödinger Equation; Musielak-Orlicz Function; Strong Solution; Potential Function; Norm Estimates; Variable Exponents
Abstract:	Let d ≥ 2 and u be a strong solution to the parabolic Schrödinger equation uₜ - Δu + Vu = f in ℝᵈₜ := ℝᵈ × (0, T]. We show that uₜ _L^(φ) (ℝᵈₜ) + D²u _L^(φ) (ℝᵈₜ) + Vu _L^(φ) (ℝᵈₜ) ≤ C f _L^(φ) (ℝᵈₜ) under suitable conditions on the Musielak-Orlicz function φ and the potential V.
Issue Date:	2024
Publisher:	Ele-Math
Series/Report no.:	Vol. 27, No. 4
URI:	https://digital.lib.ueh.edu.vn/handle/UEH/73991
DOI:	https://doi.org/10.7153/mia-2024-27-61
ISSN:	1331-4343 (Print), 1848-9966 (Online)
Appears in Collections:	INTERNATIONAL PUBLICATIONS

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