Hodge decomposition and solution formulas for some first-order time-dependent parabolic operators with non-constant coefficients

DOI10.1007/S10231-013-0357-3zbMath1302.30067OpenAlexW2130180152MaRDI QIDQ478587

Rolf Sören Krausshar, Nelson Vieira, M. Manuela Rodrigues

Publication date: 3 December 2014

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10231-013-0357-3

zbMATH Keywords

Hodge decompositionparabolic Dirac operator

Mathematics Subject Classification ID

Functions of hypercomplex variables and generalized variables (30G35)

Related Items (2)

Maximum principle for the regularized Schrödinger operator ⋮ Hodge-type decomposition for time-dependent first-order parabolic operators with non-constant coefficients: the variable exponent case

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The Schrödinger equation on cylinders and the \(n\)-torus
• Some conformally flat spin manifolds, Dirac operators and automorphic forms
• Hilbert spaces of solutions to polynomial Dirac equations, Fourier transforms and reproducing kernel functions for cylindrical domains
• On conformally-flat spaces in the large
• Regularization of the non-stationary Schrödinger operator
• Convolution Singular Integrals on Lipschitz Surfaces
• On Helmholtz decompositions and their generalizations—An overview
• Parabolic Dirac operators and the Navier-Stokes equations over time-varying domains

This page was built for publication: Hodge decomposition and solution formulas for some first-order time-dependent parabolic operators with non-constant coefficients