On the cohomologies of the de Rham complex over weighted isotropic and anisotropic Hölder spaces

DOI10.1080/17476933.2021.1998017OpenAlexW3212648563MaRDI QIDQ5883940

Kseniya Vladimirovna Gagelgans

Publication date: 17 March 2023

Published in: Complex Variables and Elliptic Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2107.00234

zbMATH Keywords

weighted Hölder spacesanisotropic spacesintegral representation's method

Mathematics Subject Classification ID

(Semi-) Fredholm operators; index theories (47A53) de Rham theory in global analysis (58A12) Systems of linear first-order PDEs (35F35)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Integration of differential forms of the classes W*(p,q)
• The Cauchy problem for Laplace's equation
• On the de Rham complex on a scale of anisotropic weighted Hölder spaces
• The null spaces of elliptic partial differential operators in R\(^n\)
• On the closure of smooth compactly supported functions in weighted Hölder spaces
• \(L^ 2\) estimates and existence theorems for the \(\partial\)-operator
• Vorticity and Incompressible Flow
• ON THE CAUCHY PROBLEM FOR THE HEAT EQUATION ON RIEMANNIAN MANIFOLDS WITH CONICAL SINGULARITIES
• Spaces of differential forms and maps with controlled distortion
• The behavior of the laplacian on weighted sobolev spaces

This page was built for publication: On the cohomologies of the de Rham complex over weighted isotropic and anisotropic Hölder spaces