Blar i Institutt for matematiske fag på tidsskrift "Discrete and Continuous Dynamical Systems. Series A"
Viser treff 1-8 av 8
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Enhanced existence time of solutions to evolution equations of Whitham type
(Peer reviewed; Journal article, 2022)We show that Whitham type equations , where is a general Fourier multiplier operator of order , , allow for small solutions to be extended beyond their ordinary existence time. The result is valid for a range of quadratic ... -
Global well-posedness of the viscous Camassa–Holm equation with gradient noise
(Peer reviewed; Journal article, 2022)We analyse a nonlinear stochastic partial differential equation that corresponds to a viscous shallow water equation (of the Camassa–Holm type) perturbed by a convective, position-dependent noise term. We establish the ... -
Infinity-harmonic potentials and their streamlines
(Journal article; Peer reviewed, 2019)We consider certain solutions of the Infinity-Laplace Equation in planar convex rings. Their ascending streamlines are unique while the descending ones may bifurcate. We prove that bifurcation occurs in the generic situation ... -
L1 semigroup generation for Fokker-Planck operators associated with general Levy driven SDEs
(Journal article; Peer reviewed, 2018)We prove a new generation result in L 1 for a large class of non-local operators with non-degenerate local terms. This class contains the operators appearing in Fokker-Planck or Kolmogorov forward equations associated ... -
Solitary waves for dispersive equations with Coifman–Meyer nonlinearities
(Journal article; Peer reviewed, 2024)Using a modified version of Weinstein’s argument for constrained minimization in nonlinear dispersive equations, we prove existence of solitary waves in fully nonlocally nonlinear equations, as long as the linear multiplier ... -
Solitary waves for weakly dispersive equations with inhomogeneous nonlinearities
(Peer reviewed; Journal article, 2020) -
Study of fractional Poincaré inequalities on unbounded domains
(Peer reviewed; Journal article, 2021) -
Uniform tail estimates and Lp(RN)-convergence for finite-difference approximations of nonlinear diffusion equations
(Journal article; Peer reviewed, 2022)