Petri Laarne

activity

20242026

collaborators

3 papers

math.AP2026

Invariance of $I ¨ ^{4}$ measure under nonlinear wave and SchrÃ¶dinger equations on the plane

Nikolay Barashkov, Petri Laarne

We show almost sure wellposedness of mild solution to the cubic nonlinear wave equation in a weighted Besov space over $R^{2}$ . To achieve this, we show that any weak limit o…

math-ph2025

Metastable transition times of the 1D dynamical sine-Gordon model

Petri Laarne

We study the dynamics of a stochastic heat equation with $I^^{3} sin (I^^{2} u)$ nonlinearity on one-dimensional torus. We show an Eyring--Kramers law for the jump rate between potential wel…

math.AP2024

Eyring--Kramers law for the hyperbolic $I ¨ ^{4}$ model

Nikolay Barashkov, Petri Laarne

We study the expected transition frequency between the two metastable states of a stochastic wave equation with double-well potential. By transition state theory, the frequency fac…

Invariance of I¨4 measure under nonlinear wave and SchrÃ¶dinger equations on the plane

Metastable transition times of the 1D dynamical sine-Gordon model

Eyring--Kramers law for the hyperbolic I¨4 model

Invariance of $I ¨ ^{4}$ measure under nonlinear wave and SchrÃ¶dinger equations on the plane

Eyring--Kramers law for the hyperbolic $I ¨ ^{4}$ model