Potential type operators in PDEs and their applications
ForfatterBurtseva, Evgeniya; Lundberg, Staffan; Persson, Lars Erik; Samko, Natasha
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.
Embargo 24 months from publishing date. Link to publisher's version: https://aip.scitation.org/doi/pdf/10.1063/1.4972770