On solvability of a general elliptic boundary value problem in Hölder-Zygmund spaces with variable smoothness

DOI10.47475/2500-0101-2024-9-1-50-62MaRDI QIDQ6497129

Gul'nara Perutkhanovna Omarova, Vadim D. Kryakvin

Publication date: 6 May 2024

Published in: Chelyabinskiĭ Fiziko-Matematicheskiĭ Zhurnal (Search for Journal in Brave)

zbMATH Keywords

Fredholm propertyBoutet de Monvel algebraHölder-Zygmund spaces of variable smoothnesssmooth manifold with compact boundary

Mathematics Subject Classification ID

Elliptic equations and elliptic systems (35Jxx) Functional analysis (46-XX)

Cites Work

• The Dirichlet problem in Zygmund spaces in a square
• Boundary value problems for parabolic equations in Zygmund spaces
• Schauder theory in variable Hölder spaces
• Boundedness of pseudodifferential operators in Hölder-Zygmund spaces of variable order
• Boundary problems for pseudo-differential operators
• Pseudo-differential boundary problems in L_p, spaces
• Elliptic Boundary Problems and the Boutet de Monvel Calculus in Besov and Triebel-Lizorkin Spaces.
• The Boutet de Monvel operators in variable Hölder–Zygmund spaces on $\mathbb{R}^{n}_+$
• Pseudodifferential Operators in Weighted Hölder–Zygmund Spaces of Variable Smoothness
• SCALES OF BANACH SPACES
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