Potential type operators in PDEs and their applications

Permanent link
https://hdl.handle.net/10037/12721
DOI
https://doi.org/10.1063/1.4972770
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Date
2017-01
Type
Journal article
Peer reviewed
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Author
Burtseva, Evgeniya; Lundberg, Staffan; Persson, Lars Erik; Samko, Natasha
Abstract
We prove the boundedness of Potential operator in weighted generalized Morrey space in terms of Matuszewska-Orlicz indices of weights and apply this result to the Hemholtz equation in ℝ3 with a free term in such a space. We also give a short overview of some typical situations when Potential type operators arise when solving PDEs.
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Is part of
Lundberg, S. (2018). Studies of some Operators of Harmonic Analysis in certain Function Spaces with Applications to PDEs. (Doctoral thesis). http://hdl.handle.net/10037/14696.
Publisher
American Institute of Physics (AIP) Publishing
Series
AIP Conference Proceedings, 1798(1)
Citation
Burtseva, E., Lundberg, S., Persson, L-E. & Samko, N. (2017). Potential type operators in PDEs and their applications. AIP Conference Proceedings,1798, 020178. https://doi.org/10.1063/1.4972770
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