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pro vyhledávání: '"Mathias Masson"'
Publikováno v:
MATHEMATISCHE NACHRICHTEN. 291(8-9):1269-1282
In this paper we consider parabolic Q-quasiminimizers related to the p-Laplace equation in ΩT:=Ω×(0,T). In particular, we focus on the stability problem with respect to the parameters p and Q. It is known that, if Q→1, then parabolic quasiminimi
Autor:
Mikko Parviainen, Mathias Masson
Publikováno v:
Journal d'Analyse Mathématique. 126:307-339
We prove higher integrability up to the boundary for minimal p-weak upper gradients of parabolic quasiminimizers in metric measure spaces related to the heat equation. We assume the underlying metric measure space to be equipped with a doubling measu
Autor:
Mathias Masson, Juha Kinnunen
Publikováno v:
Proceedings of the American Mathematical Society. 143:621-632
We give several characterizations of parabolic (quasisuper)- minimizers in a metric measure space equipped with a doubling measure and supporting a Poincar\'e inequality. We also prove a version of comparison principle for super- and subminimizers on
Publikováno v:
Annales Academiae Scientiarum Fennicae Mathematica. 39:711-719
In this paper a variational approach is taken to study a doubly nonlinear parabolic equation. We consider energy estimates for parabolic minimizers related to this equation. These energy estimates play a fundamental role in obtaining Harnack estimate
Publikováno v:
Potential Analysis. 41:983-1004
This paper studies parabolic quasiminimizers which are solutions to parabolic variational inequalities. We show that, under a suitable regularity condition on the boundary, parabolic Q-quasiminimizers related to the parabolic p-Laplace equations with
Autor:
Mathias Masson, Juhana Siljander
Publikováno v:
Manuscripta Mathematica. 142:187-214
We give a proof for the Holder continuity of functions in the parabolic De Giorgi classes in metric measure spaces. We assume the measure to be doubling, to support a weak (1, p)-Poincare inequality and to satisfy the annular decay property.
Publikováno v:
Journal of Apllied Physics
Journal of Apllied Physics, 2004, 96, pp.6895. 〈10.1063/1.1813639〉
Journal of Apllied Physics, 2004, 96, pp.6895. ⟨10.1063/1.1813639⟩
Journal of Apllied Physics, 2004, 96, pp.6895. 〈10.1063/1.1813639〉
Journal of Apllied Physics, 2004, 96, pp.6895. ⟨10.1063/1.1813639⟩
International audience; The imaginary branches of surface acoustic wave slowness curves are needed in many modal or spectral models that account for waveguides or diffraction based on the angular spectrum of waves approach. Their determination for an
Autor:
Niko Marola, Mathias Masson
Publikováno v:
Tohoku Math. J. (2) 65, no. 4 (2013), 569-589
In this note we consider problems related to parabolic partial differential equations in geodesic metric measure spaces, that are equipped with a doubling measure and a Poincar�� inequality. We prove a location and scale invariant Harnack inequal
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b5872cce4fe6057d7fc533484b10350b
Using purely variational methods, we prove in metric measure spaces local higher integrability for minimal p-weak upper gradients of parabolic quasiminimizers related to the heat equation. We assume the measure to be doubling and the underlying space
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c1ce1b3bc270dd23419f33d4d848e3b1
http://hdl.handle.net/11392/1872546
http://hdl.handle.net/11392/1872546