Global solutions of a linear Cauchy problem.
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Publication:1403842
DOI10.1016/S0022-1236(02)00067-8zbMath1035.35002OpenAlexW2073797486MaRDI QIDQ1403842
Daniel Gourdin, Mustapha Mechab
Publication date: 4 September 2003
Published in: Journal of Functional Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/s0022-1236(02)00067-8
Gevrey classesCauchy-Kowalewski theoremGlobal existenceNagumo theoremFormal normsMajorant of a series
Related Items (9)
On analytic continuation of solutions of linear partial differential equations ⋮ Solvability of the cohomological equation for regular vector fields on the plane ⋮ Cauchy problems for hyperbolic systems in \(\mathbb{R}^n\) with irregular principal symbol in time and for \(x \rightarrow \infty \) ⋮ Global Cauchy problems on \(\mathbb{R}^n\) for weakly hyperbolic systems with coefficients admitting superlinear growth for \(| x| \rightarrow \infty\) ⋮ Global in time solutions of evolution equations in scales of Banach function spaces in \(\mathbb R^n\) ⋮ On a global Cauchy-Kowalewski-Nagumo theorem in projective Gevrey space. ⋮ Global analytic solutions of linear problems with shrinking argument. (Solutions analytiques globales de problémes linéaires avec argument absorbant) ⋮ Global Cauchy problems for hyperbolic systems with characteristics admitting superlinear growth for \( |x|\rightarrow \infty \) ⋮ On the summability of formal solutions of linear partial differential equations
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