Showing items with similar title or keywords.

• Equivalence of viscosity and weak solutions for a p-parabolic equation 

  Siltakoski, Jarkko (Springer, 2021)

  We study the relationship of viscosity and weak solutions to the equation partial derivative(t)u - Delta(p)u = f (Du), where p > 1 and f is an element of C(R-N) satisfies suitable assumptions. Our main result is that bounded ...

• 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 mean value formulas for parabolic nonlinear equations 

  Blanc, Pablo; Charro, Fernando; Manfredi, Juan J.; Rossi, Julio D. (Union Matematica Argentina, 2022)

  In this paper we characterize viscosity solutions to nonlinear parabolic equations (including parabolic Monge–Ampère equations) by asymptotic mean value formulas. Our asymptotic mean value formulas can be interpreted from ...

• 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.

• Regularity properties of tug-of-war games and normalized equations 

  Ruosteenoja, Eero (University of Jyväskylä, 2017)