A priori estimates  in  weighted spaces for solutions of the
Poisson and heat equations

Adam Kubica; Wojciech M. Zaj/aczkowski

doi:10.4064/am34-4-6

Wydawnictwa / Czasopisma IMPAN / Applicationes Mathematicae / Wszystkie zeszyty

A priori estimates in weighted spaces for solutions of the Poisson and heat equations

Tom 34 / 2007

Adam Kubica, Wojciech M. Zaj/aczkowski Applicationes Mathematicae 34 (2007), 431-444 MSC: 35J05, 35B45. DOI: 10.4064/am34-4-6

Streszczenie

We prove a priori estimates for solutions of the Poisson and heat equations in weighted spaces of Kondrat'ev type. The weight is a power of the distance from a distinguished axis.

Autorzy

Adam KubicaInstitute of Mathematics and Cryptology
Military University of Technology
Kaliskiego 2
00-908 Warszawa, Poland
and
Faculty of Mathematics and Information Science
Warsaw University of Technology
Pl. Politechniki 1
00-661 Warszawa, Poland
e-mail
Wojciech M. Zaj/aczkowskiInstitute of Mathematics and Cryptology
Military University of Technology
Kaliskiego 2
00-908 Warszawa, Poland
and
Institute of Mathematics
Polish Academy of Sciences
Śniadeckich 8
00-956 Warszawa, Poland
e-mail

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