Geodesic
A priori estimates in weighted spaces for solutions of the Poisson and heat equations
Adam Kubica1 ; Wojciech M. Zaj/aczkowski2
1 Institute 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
2 Institute 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
Applicationes Mathematicae, Tome 34 (2007) no. 4, pp. 431-444 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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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.
DOI : 10.4064/am34-4-6
Keywords: prove priori estimates solutions poisson heat equations weighted spaces kondratev type weight power distance distinguished axis

Adam Kubica 1 ; Wojciech M. Zaj/aczkowski 2

1 Institute 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
2 Institute 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 
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     author = {Adam Kubica and Wojciech M. Zaj/aczkowski},
     title = {A priori estimates  in  weighted spaces for solutions of {the
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     journal = {Applicationes Mathematicae},
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Adam Kubica; Wojciech M. Zaj/aczkowski. A priori estimates  in  weighted spaces for solutions of the
Poisson and heat equations. Applicationes Mathematicae, Tome 34 (2007) no. 4, pp. 431-444. doi: 10.4064/am34-4-6

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