Nonlocal abstract Ginzburg–Landau-type equations and applications

Shakhmurov V.

Theoretical and Mathematical Physics (Russian Federation), vol.221, no.2, pp.1867-1881, 2024 (SCI-Expanded, Scopus) identifier identifier

  • Nəşrin Növü: Article / Article
  • Cild: 221 Say: 2
  • Nəşr tarixi: 2024
  • Doi nömrəsi: 10.1134/s0040577924110060
  • jurnalın adı: Theoretical and Mathematical Physics (Russian Federation)
  • Jurnalın baxıldığı indekslər: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Səhifə sayı: pp.1867-1881
  • Açar sözlər: -regularity property of solutions, diffusion equations, dissipative operators, embedding in Sobolev and Besov spaces, Fourier multipliers, Ginzburg–Landau equation
  • Açıq Arxiv Kolleksiyası: Məqalə
  • Adres: Yox

Qısa məlumat

Abstract: We study a nonlocal abstract Ginzburg–Landau type equation. The equation includes variable coefficients with convolution terms and an abstract linear operator function in a Fourier-type Banach space. For sufficiently smooth initial data, assuming growth conditions for the operator and the coefficient, the existence and uniqueness of the solution and the -regularity properties are established. We obtain the existence and uniqueness of the solution, and the regularity of different classes of nonlocal Ginzburg–Landau-type equations by choosing the space and operator that occur in a wide variety of physical systems.