Näytetään aineistoja, joilla on samankaltainen nimeke tai asiasanat.

• A systematic approach on the second order regularity of solutions to the general parabolic p-Laplace equation 

  Feng, Yawen; Parviainen, Mikko; Sarsa, Saara (Springer, 2023)

  We study a general form of a degenerate or singular parabolic equation ut−|Du|γ(Δu+(p−2)ΔN∞u)=0 that generalizes both the standard parabolic p-Laplace equation and the normalized version that arises from stochastic game ...

• Asymptotic C1,γ-regularity for value functions to uniformly elliptic dynamic programming principles 

  Blanc, Pablo; Parviainen, Mikko; Rossi, Julio D. (Springer, 2022)

  In this paper we prove an asymptotic C1,γ-estimate for value functions of stochastic processes related to uniformly elliptic dynamic programming principles. As an application, this allows us to pass to the limit with a ...

• 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.

• Convergence of dynamic programming principles for the p-Laplacian 

  del Teso, Félix; Manfredi, Juan J.; Parviainen, Mikko (De Gruyter, 2022)

  We provide a unified strategy to show that solutions of dynamic programming principles associated to the p-Laplacian converge to the solution of the corresponding Dirichlet problem. Our approach includes all previously ...

• Asymptotic Hölder regularity for the ellipsoid process 

  Arroyo, Ángel; Parviainen, Mikko (EDP Sciences, 2020)

  We obtain an asymptotic Hölder estimate for functions satisfying a dynamic programming principle arising from a so-called ellipsoid process. By the ellipsoid process we mean a generalization of the random walk where the ...