Notes on the p-Laplace equation
Julkaistu sarjassa
Report / University of Jyväskylä, Department of Mathematics and StatisticsTekijät
Päivämäärä
2006Tekijänoikeudet
© 2017, Peter Lindqvist and University of Jyväskylä
Julkaisija
University of JyväskyläISBN
951-39-2586-2ISSN Hae Julkaisufoorumista
1457-8905Asiasanat
Metadata
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Calderón's problem for p-laplace type equations
Brander, Tommi (University of Jyväskylä, 2016)We investigate a generalization of Calderón’s problem of recovering the conductivity coefficient in a conductivity equation from boundary measurements. As a model equation we consider the p-conductivity equation div σ ... -
On the second-order regularity of solutions to the parabolic p-Laplace equation
Feng, Yawen; Parviainen, Mikko; Sarsa, Saara (Birkhäuser, 2022)In this paper, we study the second-order Sobolev regularity of solutions to the parabolic p-Laplace equation. For any p-parabolic function u, we show that D(|Du|p−2+s2Du) exists as a function and belongs to L2loc with s>−1 ... -
A systematic approach on the second order regularity of solutions to the general parabolic p-Laplace equation
Feng, Yawen; Parviainen, Mikko; Sarsa, Saara (Springer, 2023)We study a general form of a degenerate or singular parabolic equation ut−|Du|γ(Δu+(p−2)ΔN∞u)=0 that generalizes both the standard parabolic p-Laplace equation and the normalized version that arises from stochastic game ... -
Notes on the p-Laplace equation
Lindqvist, Peter (University of Jyväskylä, 2017) -
Enclosure method for the p-Laplace equation
Brander, Tommi; Kar, Manas; Salo, Mikko (Institute of Physics Publishing Ltd.; Institute of Physics, 2015)Abstract. We study the enclosure method for the p-Calderon problem, which is a nonlinear generalization of the inverse conductivity problem due to Calderon that involves the p-Laplace equation. The method allows one to ...
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