221 citations
- Physico-Technical InstituteRU7 papers
- Lawrence Livermore National LaboratoryUS5 papers
- Centre National de la Recherche ScientifiqueFR4 papers
- European Organization for Nuclear ResearchCH4 papers
- Joint Institute for Nuclear ResearchRU4 papers
- University of BergenNO4 papers
- University of CopenhagenDK4 papers
- Uppsala UniversitySE4 papers
- Aarhus UniversityDK3 papers
- Argonne National LaboratoryUS3 papers
- Commissariat à l'Énergie Atomique et aux Énergies AlternativesFR3 papers
- European Southern ObservatoryCL3 papers
4 papers · 1 filter
Initial-boundary value problems for conservation laws with source terms and the Degasperis-Procesi equation
G. C. Coclite, K. H. Karlsen, Y. -S. Kwon
We consider conservation laws with source terms in a bounded domain with Dirichlet boundary conditions. We first prove the existence of a strong trace at the boundary in order to p…
Well-posedness results for triply nonlinear degenerate parabolic equations
Boris Andreianov, Mostafa Bendahmane, Kenneth K. Karlsen +1
We study the well-posedness of triply nonlinear degenerate elliptic-parabolic-hyperbolic problem $$ b(u)_t - {\rm div} \tilde{\mathfrak a}(u,\nablaϕ(u))+ψ(u)=f, \quad u|_{t=0}=u_0…
Stability of solutions of quasilinear parabolic equations
Giuseppe Maria Coclite, Helge Holden
We bound the difference between solutions and of $u_t = aΔu+\Div_x f+h$ and $v_t = bΔv+\Div_x g+k$ with initial data and , respectively, by $\Vert u(t,\cdot)-v(t,\c…
Viscosity solutions of Hamilton--Jacobi equations with discontinuous coefficients
Giuseppe Maria Coclite, Nils Henrik Risebro
We consider Hamilton--Jacobi equations, where the Hamiltonian depends discontinuously on both the spatial and temporal location. Our main results are the existence and well--posedn…