Geodesic
A parabolic system in a weighted Sobolev space
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 Polish Academy of Sciences /Sniadeckich 8 00-956 Warszawa, Poland and Institute of Mathematics and Cryptology Military University of Technology Kaliskiego 2 00-908 Warszawa, Poland
Applicationes Mathematicae, Tome 34 (2007) no. 2, pp. 169-191 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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We examine the regularity of solutions of a certain parabolic system in the weighted Sobolev space $W^{2,1}_{2,\mu }$, where the weight is of the form $r^{\mu }$, $r$ is the distance from a distinguished axis and $\mu \in (0,1)$.
DOI : 10.4064/am34-2-3
Keywords: examine regularity solutions certain parabolic system weighted sobolev space where weight form 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 Polish Academy of Sciences /Sniadeckich 8 00-956 Warszawa, Poland and Institute of Mathematics and Cryptology Military University of Technology Kaliskiego 2 00-908 Warszawa, Poland 
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     author = {Adam Kubica and Wojciech M. Zaj/aczkowski},
     title = {A parabolic system in a weighted {Sobolev} space},
     journal = {Applicationes Mathematicae},
     pages = {169--191},
     year = {2007},
     volume = {34},
     number = {2},
     doi = {10.4064/am34-2-3},
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Adam Kubica; Wojciech M. Zaj/aczkowski. A parabolic system in a weighted Sobolev space. Applicationes Mathematicae, Tome 34 (2007) no. 2, pp. 169-191. doi: 10.4064/am34-2-3

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