Solution to the Cauchy problem for quasi-hyperbolic systems by vector-valued convolution

DOI10.1080/00036811.2014.985213zbMath1327.35060OpenAlexW1977353258WikidataQ58256046 ScholiaQ58256046MaRDI QIDQ3452452

Christian Bargetz, Norbert Ortner and Peter Wagner

Publication date: 12 November 2015

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036811.2014.985213

zbMATH Keywords

vector-valued distributionscorrectness in sense of Petrovskydistributional initial value problem

Mathematics Subject Classification ID

Operations with distributions and generalized functions (46F10) Integral representations of solutions to PDEs (35C15) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Initial value problems for PDEs and systems of PDEs with constant coefficients (35E15)

Cites Work

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• Théorie des distributions à valeurs vectorielles
• Théorie des distributions à valeurs vectorielles. II
• Les équations d'évolution liées au produit de composition
• Some new fundamental solutions
• The Cauchy Problem for the Wave Equation with Distribution Data: an Elementary Approach
• On generalized functions approach to the cauchy problem for heat equation

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