Douglis-Nirenberg elliptic systems in Hörmander spaces
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Publication:362492
DOI10.1007/s11253-013-0743-4zbMath1278.35081arXiv1202.6156OpenAlexW2053647555MaRDI QIDQ362492
Aleksandr A. Murach, Tetiana N. Zinchenko
Publication date: 22 August 2013
Published in: Ukrainian Mathematical Journal (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1202.6156
Smoothness and regularity of solutions to PDEs (35B65) A priori estimates in context of PDEs (35B45) Higher-order elliptic systems (35J48)
Related Items (7)
Elliptic operators on refined Sobolev scales on vector bundles ⋮ Elliptic problems with rough boundary data in generalized Sobolev spaces ⋮ Elliptic problems with boundary conditions of higher orders in Hörmander spaces ⋮ Extended Sobolev scale and elliptic operators ⋮ Petrovskii elliptic systems in the extended Sobolev scale ⋮ Regular elliptic boundary-value problems in the extended Sobolev scale ⋮ An isomorphism theorem for parabolic problems in Hörmander spaces and its applications
Cites Work
- The refined Sobolev scale, interpolation and elliptic problems
- Fredholm and regularity theory of Douglis-Nirenberg elliptic systems on \({\mathbb{R}}^{N}\)
- H\"ormander Spaces, Interpolation, and Elliptic Problems
- On elliptic systems in Hörmander spaces
- Interior estimates for elliptic systems of partial differential equations
- Regular elliptic boundary-value problem for a homogeneous equation in a two-sided improved scale of spaces
- Elliptic pseudodifferential operators in the improved scale of spaces on a closed manifold
- Improved scales of spaces and elliptic boundary-value problems. III
- Improved scales of spaces and elliptic boundary-value problems. II
- Regularly varying functions
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