Jakub Siemianowski

activity

20152023

most citedThe Constrained Krasnosel'skii Formula for Parabolic Differential Inclusions

1 citations · 1 across the 7 of their papers we have counts for

collaborators

Showing 2020Show all

3 papers · 1 filter

math.AP2020

Existence of viscosity solutions with the optimal regularity of a two-peakon Hamilton--Jacobi equation

Tomasz Cieślak, Jakub Siemianowski

This work is devoted to the studies of a Hamilton--Jacobi equation with a quadratic and degenerate Hamiltonian, which comes from the dynamics of a multipeakon in the Camassa--Holm…

math.AP2020

Viscosity solutions to an initial value problem for a Hamilton--Jacobi equation with a degenerate Hamiltonian occurring in the dynamics of peakons

Tomasz Cieślak, Jakub Siemianowski, Andrzej Święch

We consider an initial value problem for a Hamilton--Jacobi equation with a quadratic and degenerate Hamiltonian. Our Hamiltonian comes from the dynamics of $N$ -peakon in the Camas…

math.AP2020

Constrained Semilinear Elliptic Systems on $R^{N}$

Wojciech Kryszewski, Jakub Siemianowski

We prove the existence of solutions $u$ in $H^{1} (R^{N}, R^{M})$ of the following strongly coupled semilinear system of second order elliptic PDEs on $R^{N}$ \[ \…

Existence of viscosity solutions with the optimal regularity of a two-peakon Hamilton--Jacobi equation

Viscosity solutions to an initial value problem for a Hamilton--Jacobi equation with a degenerate Hamiltonian occurring in the dynamics of peakons

Constrained Semilinear Elliptic Systems on RN

Constrained Semilinear Elliptic Systems on $R^{N}$