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

Volume 34 / 2007

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

Abstract

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.

Authors

  • 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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