3.1k citations
Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.
- University of OsloNO153 papers
- Centre National de la Recherche ScientifiqueFR139 papers
- KTH Royal Institute of TechnologySE92 papers
- SINTEFNO92 papers
- Johannes Gutenberg University MainzDE57 papers
- Delft University of TechnologyNL56 papers
- University of CopenhagenDK55 papers
- ETH ZurichCH46 papers
- Tomsk State Pedagogical UniversityRU44 papers
- University of CambridgeGB41 papers
- Stockholm UniversitySE40 papers
- Eindhoven University of TechnologyNL38 papers
10 papers · 2 filters
Global existence of dissipative solutions to the Camassa--Holm equation with transport noise
Luca Galimberti, Helge Holden, Kenneth H. Karlsen +1
We consider a nonlinear stochastic partial differential equation (SPDE) that takes the form of the Camassa--Holm equation perturbed by a convective, position-dependent, noise term.…
Global well-posedness of the viscous Camassa--Holm equation with gradient noise
Helge Holden, Kenneth H. Karlsen, Peter H. C. Pang
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…
Evolution Driven by the Infinity Fractional Laplacian
Félix del Teso, Jørgen Endal, Espen R. Jakobsen +1
We consider the evolution problem associated to the infinity fractional Laplacian introduced by Bjorland, Caffarelli and Figalli (2012) as the infinitesimal generator of a non-Brow…
Dynamical versions of Hardy's uncertainty principle: A survey
Aingeru Fernández-Bertolin, Eugenia Malinnikova
The Hardy uncertainty principle says that no function is better localized together with its Fourier transform than the Gaussian. The textbook proof of the result, as well as one of…
Large-time behaviour for anisotropic stable nonlocal diffusion problems with convection
Jørgen Endal, Liviu I. Ignat, Fernando Quirós
We study the large-time behaviour of nonnegative solutions to the Cauchy problem for a nonlocal heat equation with a nonlinear convection term. The diffusion operator is the infini…
Nonlocal nonlinear diffusion equations. Smoothing effects, Green functions, and functional inequalities
Matteo Bonforte, Jørgen Endal
We establish boundedness estimates for solutions of generalized porous medium equations of the form $$ \partial_t u+(-\mathfrak{L})[u^m]=0\quad\quad\text{in $\mathbb{R}^N\times(0,T…
Shock interactions for the Burgers-Hilbert Equation
Alberto Bressan, Sondre T. Galtung, Katrin Grunert +1
This paper provides an asymptotic description of a solution to the Burgers-Hilbert equation in a neighborhood of a point where two shocks interact. The solution is obtained as the…
Symmetric doubly periodic gravity-capillary waves with small vorticity
Douglas Svensson Seth, Kristoffer Varholm, Erik Wahlén
We construct small amplitude gravity-capillary water waves with small nonzero vorticity, in three spatial dimensions, bifurcating from uniform flows. The waves are symmetric, and p…
Periodic Hölder waves in a class of negative-order dispersive equations
Fredrik Hildrum, Jun Xue
We prove the existence of highest, cusped, periodic travelling-wave solutions with exact and optimal -Hölder continuity in a class of fractional negative-order dispersive equat…
Uniform tail estimates and -convergence for finite-difference approximations of nonlinear diffusion equations
Félix del Teso, Jørgen Endal, Espen R. Jakobsen
We obtain new equitightness and -convergence results for finite-difference approximations of generalized porous medium equations of the form $$ \partial…