The chaos of the solution semigroup for some partial differential equations in weighted Banach spaces

DOI10.1186/1687-1847-2014-123zbMath1343.35128OpenAlexW2118950944WikidataQ59323979 ScholiaQ59323979MaRDI QIDQ738423

Xiang-Dong Yang

Publication date: 2 September 2016

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/1687-1847-2014-123

zbMATH Keywords

chaospartial differential equation\(C_0\)-semigroupCarleman's formulaweighted Banach spaces

Mathematics Subject Classification ID

Integration, integrals of Cauchy type, integral representations of analytic functions in the complex plane (30E20) Initial value problems for higher-order parabolic equations (35K30)

Cites Work

• Incompleteness of exponential system in the weighted Banach space
• On the completeness of the system \(\{t^{\lambda _n}\}\) in \(C_{0}(E)\)
• Chaos and hypercyclicity for solution semigroups to some partial differential equations
• Incompleteness and closure of a linear span of exponential system in a weighted Banach space.
• Integer translation of meromorphic functions
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