Estimates for a beam-like partial differential operator and applications

• Autorzy: Belahdji Meriem , Ayad Setti , Mortad Mohammed Hichem

Identyfikatory

DOI

10.1515/jaa-2021-2069

• Języki publikacji: EN

Abstrakty

EN

The aim of this paper is to provide some a priori estimates for a beam-like operator. Some applications and counterexamples are also given.

Słowa kluczowe

EN

a priori estimates; beam-like operator; Kenig-Ponce-Vega theorem; Kato-Rellich theorem

• Wydawca: De Gruyter
• Czasopismo: Journal of Applied Analysis
• Rocznik: 2022
• Tom: Vol. 28, nr 2
• Strony: 181--188
• Opis fizyczny: Bibliogr. 8 poz.

Twórcy

autor

Belahdji Meriem

• Département de Mathématiques, Université Oran 1, Ahmed Ben Bella, B.P. 1524, El Menouar, Oran 31000, Algeria

autor

Ayad Setti

• Département de Mathématiques, Université Oran 1, Ahmed Ben Bella, B.P. 1524, El Menouar, Oran 31000, Algeria

autor

Mortad Mohammed Hichem

• Département de Mathématiques, Université Oran 1, Ahmed Ben Bella, B.P. 1524, El Menouar, Oran 31000, Algeria

Bibliografia

• [1] A. Chaban and M. H. Mortad, Global space-time Lp-estimates for the Airy operator on L²(ℝ²) and some applications, Glas. Mat. Ser. III 47 (2012), no. 2, 373-379.
• [2] L. C. Evans, Partial Differential Equations, Grad. Stud. Math. 19, American Mathematical Society, Providence, 1998.
• [3] C. Kenig, G. Ponce and L. Vega, Oscillatory integrals and regularity of dispersive equations, Indiana Univ. Math. J. 40 (1991), 33-69.
• [4] M. H. Mortad, Self-adjointness of the perturbed wave operator on L²(Rⁿ), Proc. Amer. Math. Soc. 133 (2005), no. 2, 455-464.
• [5] M. H. Mortad, On Lp-estimates for the time dependent Schrödinger operator on L², J. Ineq. Pure Appl. Math. 8 (2007), no. 3, Article ID 80.
• [6] M. H. Mortad, Global space-time Lp-estimates for the wave operator on L², Rend. Semin. Mat. Univ. Politec. Torino 69 (2011), 91-96.
• [7] M. Reed and B. Simon, Methods of Modern Mathematical Physics. Vol. 2: “Fourier Analysis, Self-Adjointness”, Academic Press, New York, 1975.
• [8] I. Segal, Space-time decay for solutions of wave equations, Adv. Math. 22 (1976), no. 3, 305-311.

Uwagi

Opracowanie rekordu ze środków MNiSW, umowa nr SONP/SP/546092/2022 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2024).