Denjoy-Carleman classes: boundary values, approximate solutions and applications
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Publication:490775
DOI10.1007/s12220-014-9491-4zbMath1326.35013OpenAlexW2043638843MaRDI QIDQ490775
Publication date: 28 August 2015
Published in: The Journal of Geometric Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s12220-014-9491-4
Nonlinear first-order PDEs (35F20) Microlocal methods and methods of sheaf theory and homological algebra applied to PDEs (35A27) Fourier integral operators applied to PDEs (35S30) Overdetermined systems of PDEs with variable coefficients (35N10)
Related Items (9)
Microglobal regularity and the global wavefront set ⋮ The FBI transforms and their use in microlocal analysis ⋮ Global \(L^q\)-Gevrey functions and their applications ⋮ Approximate solutions of vector fields and an application to Denjoy–Carleman regularity of solutions of a nonlinear PDE ⋮ Geometric microlocal analysis in Denjoy-Carleman classes ⋮ Unnamed Item ⋮ MICROLOCAL REGULARITY FOR MIZOHATA TYPE DIFFERENTIAL OPERATORS ⋮ FBI transform characterization of ultradifferentiablity on maximally real submanifolds ⋮ Global L^q Gevrey functions, Paley-Weiner theorems, and the FBI transform
Cites Work
- Existence of Gevrey approximate solutions for certain systems of linear vector fields applied to involutive systems of first-order nonlinear PDEs
- Approximate solutions and micro-regularity in the Denjoy-Carleman classes
- On microlocal analyticity of solutions of first-order nonlinear PDE
- Gevrey micro-regularity for solutions to first order nonlinear PDE
- A generalization of Borel's theorem and microlocal Gevrey regularity in involutive structures
- Almost analytic extension of ultradifferentiable functions and the boundary values of holomorphic functions
- The implicit function theorem for ultradifferentiable mappings
- Traces and the F. and M. Riesz theorem for vector fields.
- On boundary properties of solutions of complex vector fields
- Edge of the wedge theory in involutive structures
- Structure of quasi-analytic ultradistributions
- Linear partial differential operators and generalized distributions
- An F. and M. Riesz theorem for a system of vector fields
- A quasianalytic singular spectrum with respect to the Denjoy-Carleman class
- Edge of the Wedge Theory in Hypo-analytic Manifolds
- On boundary regularity for one-sided locally solvable vector fields
- On the C ∞ Wave-Front Set of Solutions of First-Order Nonlinear PDE's
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