scholarly journals Finite propagation speed for solutions of the parabolic {$p$}-Laplace equation on manifolds

2005 ◽  
Vol 13 (4) ◽  
pp. 741-768 ◽  
Author(s):  
S. A. J. Dekkers
Author(s):  
David Gurarie

We establish estimates of the resolvent and other related kernels and discussLp-theory for a class of strictly elliptic operators onRn. The class of operators considered in the paper is of the formA0+Bwith the leading elliptic partA0and a “singular” perturbationB, whose coefficients haveLp-type and are modeled after Schrödinger operators.


2006 ◽  
Vol 182 (2) ◽  
pp. 269-297 ◽  
Author(s):  
Fuensanta Andreu ◽  
Vicent Caselles ◽  
José M. Mazón ◽  
Salvador Moll

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