Regularity and solvability of linear differential operators in Gevrey spaces

DOI10.1002/mana.201600522zbMath1392.35087OpenAlexW2741993967MaRDI QIDQ4639500

Gabriel Araújo

Publication date: 9 May 2018

Published in: Mathematische Nachrichten (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mana.201600522

zbMATH Keywords

Gevrey classesinvolutive structureslocally integrable structuressemiglobal solvabilityreal-analytic coefficients

Mathematics Subject Classification ID

Differential complexes (58J10) Topological linear spaces of test functions, distributions and ultradistributions (46F05) PDEs of infinite order (35R50) Systems of linear first-order PDEs (35F35)

Related Items (8)

Microglobal regularity and the global wavefront set ⋮ Global analytic solvability of involutive systems on compact manifolds ⋮ On the solvability of linear differential operators on vector bundles over a manifold ⋮ Global \(\mathcal{M}\)-hypoellipticity, global \(\mathcal{M}\)-solvability and perturbations by lower order ultradifferential pseudodifferential operators ⋮ Global regularity and solvability of left-invariant differential systems on compact Lie groups ⋮ Solvability in Gevrey classes of some nonlinear fractional functional differential equations ⋮ Global properties of vector fields on compact Lie groups in Komatsu classes ⋮ Global analytic hypoellipticity and solvability of certain operators subject to group actions

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