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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

A529

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

A499

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