Showing items with similar title or keywords.

• Calderón's problem for p-laplace type equations 

  Brander, Tommi (University of Jyväskylä, 2016)

  We investigate a generalization of Calderón’s problem of recovering the conductivity coefficient in a conductivity equation from boundary measurements. As a model equation we consider the p-conductivity equation div σ ...

• Hölder gradient regularity for the inhomogeneous normalized p(x)-Laplace equation 

  Siltakoski, Jarkko (Elsevier Inc., 2022)

  We prove the local gradient Hölder regularity of viscosity solutions to the inhomogeneous normalized p(x)-Laplace equation −Δp(x)Nu=f(x), where p is Lipschitz continuous, inf⁡p>1, and f is continuous and bounded.

• Gradient and Lipschitz Estimates for Tug-of-War Type Games 

  Attouchi, Amal; Luiro, Hannes; Parviainen, Mikko (Society for Industrial and Applied Mathematics, 2021)

  We define a random step size tug-of-war game and show that the gradient of a value function exists almost everywhere. We also prove that the gradients of value functions are uniformly bounded and converge weakly to the ...

• 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 ...

• 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 ...