Extended Strichartz estimates for the heat equation with a Strichartz type potential

Autor:	George Venkov, Elena Nikolova, Mirko Tarulli
Rok vydání:	2021
Předmět:	Spacetime Bounded function Mathematical analysis Geodetic datum Heat equation Type (model theory) Focus (optics) Mathematics
Zdroj:	THERMOPHYSICAL BASIS OF ENERGY TECHNOLOGIES (TBET 2020).
ISSN:	0094-243X
DOI:	10.1063/5.0042670
Popis:	We present new extended Strichartz estimates for the solutions to the heat equation, perturbed with a time dependent potential V : ℝ+ ℝd → ℝ, satisfying appropriate space and time integrability conditions (i.e. bounded with respect to some La(I, Lb(ℝd)) norms). We focus ourselves to the case with initial datum in Hσ, σ ∈ (0, 1] and d ≥ 1. Some applications of these new estimates are also displayed.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::3e7d7935a53d238fd13dbe5d3790c048 https://doi.org/10.1063/5.0042670 Zobrazit plný text záznamu