The Improved Abstract Boussinesq Equations and Application

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istinad üçün kopyala

Shakhmurov V. B., Shahmurov R.

MEDITERRANEAN JOURNAL OF MATHEMATICS, vol.18, no.6, 2021 (SCI-Expanded)

• Nəşrin Növü: Article / Article
• Cild: 18 Say: 6
• Nəşr tarixi: 2021
• Doi nömrəsi: 10.1007/s00009-021-01874-7
• jurnalın adı: MEDITERRANEAN JOURNAL OF MATHEMATICS
• Jurnalın baxıldığı indekslər: Science Citation Index Expanded (SCI-EXPANDED), Scopus, MathSciNet, zbMATH, DIALNET
• Adres: Yox

Qısa məlumat

In this paper, the existence, uniqueness and L-p-regularity properties of solutions of initial value problem for improved abstract Boussinesq equation is obtained. The equation includes a linear operator A in a Banach space E. We can obtain the existence, uniqueness and qualitative properties a different classes improved Boussinesq equations by choosing the space E and linear operator A, which occur in a wide variety of physical systems. By applying this result, initial value problem for nonlocal Boussinesq equations and mixed problem for degenerate Boussinesq equations are studied.