Pierre‐Étienne Druet

collaborators

3 papers

math.PR2024

Persistence exponents via perturbation theory: MA(1)-processes

Frank Aurzada, Dieter Bothe, Pierre-Étienne Druet +2

For the moving average process $X_{n} = ρ ξ_{n - 1} + ξ_{n}$ , $n \in N$ , where $ρ \in R$ and $(ξ_{i})_{i \geq - 1}$ is an i.i.d. sequence of normally distributed random variables, we…

math.AP2024

Gradient and Hessian regularity in elliptic transmission problems near a point cusp

Dieter Bothe, Pierre-Etienne Druet, Robert Haller

We consider elliptic transmission problems in several space dimensions near an interface which is $C^{1, 1}$ diffeomorphic to an axisymmetric reference-interface with a singular poi…

math.AP2024

A regularity result for quasilinear elliptic systems with an equation of energy-type

Pierre-Etienne Druet

We study the continuity of weak solutions for quasilinear elliptic systems with source terms of critical growth arising from a transport-energy structure. The latter occurs frequen…