Department of Mathematics and Systems Analysis


Research reports by Mikko Parviainen

Here are the reports authored by Mikko Parviainen. See the reports of all authors.

Helsinki University of Technology Institute of Mathematics Research Reports A

Mikko Parviainen
Global higher integrability for nonlinear parabolic partial differential equations in nonsmooth domains   [pdf][ps]
Received 2007-09-18 * boundary value problem, Caccioppoli inequality, capacity density, Gehring lemma, Giaquinta-Modica lemma, initial value problem, integrability of the gradient, nonlinear parabolic system, parabolic p-Laplace equation, reverse Hölder inequality * AMS 35K60, 35K55, 35K15, 49N60 * 48 pages
Mikko Parviainen
Global higher integrability for parabolic quasiminimizers in nonsmooth domains   [pdf][ps] abstract: [pdf][ps]
Received 2005-04-11 * nonlinear parabolic system, heat equation, capacity density, initial value problem, reverse Hoelder inequality * AMS Primary: 35K60; Secondary: 35K15, 35K55, 49N60 * 25 pages

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