On the pointwise convergence to initial data of heat and Poisson problems for the Bessel operator

DOI10.1007/S00028-016-0346-2zbMath1380.35058arXiv1505.03494OpenAlexW2964151527MaRDI QIDQ1688296

Isolda E. Cardoso

Publication date: 5 January 2018

Published in: Journal of Evolution Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1505.03494

zbMATH Keywords

general class of weightsoptimal integrability conditions

Mathematics Subject Classification ID

Heat equation (35K05) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Initial value problems for linear higher-order PDEs (35G10) Harmonic analysis and PDEs (42B37) Initial value problems for PDEs and systems of PDEs with constant coefficients (35E15)

Related Items (1)

Pointwise convergence of fractional powers of Hermite type operators

Cites Work

• Pointwise convergence to initial data of heat and Laplace equations
• Mapping properties of fundamental operators in harmonic analysis related to Bessel operators
• A note on the convergence to initial data of heat and Poisson equations
• Classical Expansions and Their Relation to Conjugate Harmonic Functions
• Topics in Harmonic Analysis Related to the Littlewood-Paley Theory. (AM-63)
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