On linear parabolic partial differential equations
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Elliptic Harnack's inequality for a singular nonlinear parabolic equation in non‐divergence form
Kurkinen, Tapio; Parviainen, Mikko; Siltakoski, Jarkko (Wiley-Blackwell, 2023)We prove an elliptic Harnack's inequality for a general form of a parabolic equation that generalizes both the standard parabolic -Laplace equation and the normalized version that has been proposed in stochastic game theory. ... -
On the a posteriori error analysis for linear Fokker-Planck models in convection-dominated diffusion problems
Matculevich, Svetlana; Wolfmayr, Monika (Elsevier, 2018)This work is aimed at the derivation of reliable and efficient a posteriori error estimates for convection-dominated diffusion problems motivated by a linear Fokker–Planck problem appearing in computational neuroscience. ... -
Lineaariset toisen asteen hyperboliset osittaisdifferentiaaliyhtälöt
Kauppinen, Matti (2022)Tässä työssä tutkitaan toisen asteen lineaarisia hyperbolisia osittaisdifferentiaaliyhtälöitä. Toisen asteen lineaariset hyperboliset osittaisdifferentiaaliyhtälöt ovat luonnollinen yleistys aaltoyhtälölle $$u_{tt} + \Delta ... -
A graph-based multigrid with applications
Pennanen, Anssi (University of Jyväskylä, 2010) -
Partial data inverse problems for Maxwell equations via Carleman estimates
Chung, Francis J.; Ola, Petri; Salo, Mikko; Tzou, Leo (Elsevier, 2018)In this article we consider an inverse boundary value problem for the time-harmonic Maxwell equations. We show that the electromagnetic material parameters are determined by boundary measurements where part of the boundary ...