Sharp estimates for periodic solutions to the Euler-Poisson-Darboux equation

DOI10.4171/PM/1819zbMath1186.35128OpenAlexW1964046683MaRDI QIDQ942861

Paulo Amorim, Philippe G. LeFloch

Publication date: 8 September 2008

Published in: Portugaliae Mathematica. Nova Série (Search for Journal in Brave)

Full work available at URL: http://www.ems-ph.org/journals/show_pdf.php?issn=0032-5155&vol=65&iss=3&rank=6

zbMATH Keywords

Euler-Poisson-Darboux equationfractional derivativeoptimal regularitysingular Cauchy problem

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Existence theories for optimal control problems involving partial differential equations (49J20) Euler-Poisson-Darboux equations (35Q05)

Cites Work

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• Second order abstract differential equations with singular coefficients
• The solutions of the Euler-Poisson-Darboux equation for negative values of the parameter
• Divergent integrals and partial differential equations

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