Teemu Lukkari

Mathematics · Physical Sciences

15h-index523citations43works0.02yr avg
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Research Topics

Nonlinear Partial Differential Equations(29), Advanced Mathematical Modeling in Engineering(29), Numerical methods in inverse problems(13), Advanced Mathematical Physics Problems(7), Advanced Harmonic Analysis Research(5)

Publications43 total

The equivalence of weak and very weak supersolutions to the porous medium equation
Tohoku Mathematical Journal·2018Open Access
Hölder regularity for degenerate parabolic obstacle problems
Arkiv för matematik·2017· 14 citedOpen Access
Perron's method for the porous medium equation
Journal of the European Mathematical Society·2016· 15 citedOpen Access
The equivalence of weak and very weak supersolutions to the porous\n medium equation
arXiv (Cornell University)·2016Open Access
Lower semicontinuity of weak supersolutions to the porous medium equation
Proceedings of the American Mathematical Society·2015· 11 citedOpen Access
A posteriori error estimates for Webster's equation in wave propagation
Journal of Mathematical Analysis and Applications·2015· 6 citedOpen Access
The obstacle problem for the porous medium equation
Mathematische Annalen·2015· 39 cited
Stability of degenerate parabolic Cauchy problems
Communications on Pure &amp Applied Analysis·2015Open Access
Acoustic wave guides as infinite-dimensional dynamical systems
ESAIM Control Optimisation and Calculus of Variations·2014· 1 citedOpen Access
Acoustic wave guides as infinite-dimensional dynamical\n systems
Springer Link (Chiba Institute of Technology)·2014· 5 cited
A posteriori error estimates for Webster's equation in wave propagation
arXiv (Cornell University)·2014Open Access
Perron's method for the porous medium equation
arXiv (Cornell University)·2014Open Access
Lower semicontinuity of weak supersolutions to the porous medium\n equation
arXiv (Cornell University)·2013Open Access
Lower semicontinuity of weak supersolutions to the porous medium equation
arXiv (Cornell University)·2013Open Access
Riesz and Wolff potentials and elliptic equations in variable exponent weak Lebesgue spaces
Annali di Matematica Pura ed Applicata (1923 -)·2013· 26 citedOpen Access
Local approximation of superharmonic and superparabolic functions in nonlinear potential theory
Journal of Fixed Point Theory and Applications·2013· 8 cited
Riesz and Wolff potentials and elliptic equations in variable exponent weak Lebesgue spaces
arXiv (Cornell University)·2012Open Access
Riesz and Wolff potentials and elliptic equations in variable exponent\n weak Lebesgue spaces
arXiv (Cornell University)·2012Open Access
Local approximation of superharmonic and superparabolic functions in nonlinear potential theory
arXiv (Cornell University)·2012Open Access
Local approximation of superharmonic and superparabolic functions in\n nonlinear potential theory
arXiv (Cornell University)·2012Open Access
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Frequent Co-authors

Jarmo Malinen(10), Petteri Harjulehto(8), Mikko Parviainen(6), Juha Kinnunen(5), Pertti Palo(5), Antti Hannukainen(4), Peter Hästö(4), Niko Marola(3), Alexandre Almeida(3), Peter Lindqvist(3), Benny Avelin(3), Verena Bögelein(2), Christoph Scheven(2), Michela Eleuteri(2), Juha Kinnunen(2), Atte Aalto(2), Pekka Lehtelä(2), Mika Koskenoja(1), Tuomo Kuusi(1), Fumi-Yuki Maeda(1)