Showing items with similar title or keywords.

• Poissonin yhtälö ja Greenin funktio 

  Puustinen, Ipa (2019)

  Tämän tutkielman tarkoituksena on muodostaa ratkaisufunktiot Laplacen ja Poissonin yhtälöille avaruudessa $\mathbb{R}^n$ ja sen avoimen osajoukon tapauksessa. Laplacen yhtälön avulla voidaan määritellä muun muassa harmoniset ...

• Enclosure method for the p-Laplace equation 

  Brander, Tommi; Kar, Manas; Salo, Mikko (Institute of Physics Publishing Ltd.; Institute of Physics, 2015)

  Abstract. We study the enclosure method for the p-Calderon problem, which is a nonlinear generalization of the inverse conductivity problem due to Calderon that involves the p-Laplace equation. The method allows one to ...

• Inverse problems for p-Laplace type equations under monotonicity assumptions 

  Guo, Changyu; Kar, Manas; Salo, Mikko (EUT Edizioni Universita di Trieste, 2016)

  We consider inverse problems for p-Laplace type equations under monotonicity assumptions. In two dimensions, we show that any two conductivities satisfying σ1 ≥ σ2 and having the same nonlinear Dirichlet-to-Neumann map ...

• Monotonicity and Enclosure Methods for the p-Laplace Equation 

  Brander, Tommi; Harrach, Bastian; Kar, Manas; Salo, Mikko (Society for Industrial and Applied Mathematics, 2018)

  We show that the convex hull of a monotone perturbation of a homogeneous background conductivity in the p-conductivity equation is determined by knowledge of the nonlinear Dirichlet--Neumann operator. We give two independent ...

• Regularity for nonlinear stochastic games 

  Luiro, Hannes; Parviainen, Mikko (Elsevier, 2018)

  We establish regularity for functions satisfying a dynamic programming equation, which may arise for example from stochastic games or discretization schemes. Our results can also be utilized in obtaining regularity and ...