Separability Properties of Differential Operators in Exterior Regions and Applications

---

istinad üçün kopyala

Shakhmurov V. B.

LOBACHEVSKII JOURNAL OF MATHEMATICS, vol.44, no.12, pp.5406-5418, 2023 (ESCI)

• Nəşrin Növü: Article / Article
• Cild: 44 Say: 12
• Nəşr tarixi: 2023
• Doi nömrəsi: 10.1134/s1995080223120302
• jurnalın adı: LOBACHEVSKII JOURNAL OF MATHEMATICS
• Jurnalın baxıldığı indekslər: Emerging Sources Citation Index (ESCI), Scopus, zbMATH
• Səhifə sayı: pp.5406-5418
• Adres: Yox

Qısa məlumat

The abstract elliptic and parabolic equations on exterior regions are considered. The equations have top-order variable coefficients. The separability properties of boundary value problems for elliptic equation and well-posedness of the Cauchy problem for parabolic equations are established. We obtain the maximal regularity properties of a wide class of elliptic and parabolic equations by choosing the space E and the operator A which appear in the field of physics. In application, the maximal regularity properties of Cauchy problem for anisotropic parabolic equations and system of parabolic equations are derived