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8 papers · 2 filters
Gas-surface interaction and boundary conditions for the Boltzmann equation
Stéphane Brull, Pierre Charrier, Luc Mieussens
In this paper we revisit the derivation of boundary conditions for the Boltzmann Equation. The interaction between the wall atoms and the gas molecules within a thin surface layer…
A well-posedness result for hyperbolic operators with Zygmund coefficients
Ferruccio Colombini, Daniele Del Santo, Francesco Fanelli +1
In this paper we prove an energy estimate with no loss of derivatives for a strictly hyperbolic operator with Zygmund continuous second order coefficients both in time and in space…
Time-dependent loss of derivatives for hyperbolic operators with non regular coefficients
Ferruccio Colombini, Daniele Del Santo, Francesco Fanelli +1
In this paper we will study the Cauchy problem for strictly hyperbolic operators with low regularity coefficients in any space dimension . We will suppose the coefficients…
Invariance of Convex Sets for Non-autonomous Evolution Equations Governed by Forms
Wolfgang Arendt, Dominik Dier, El Maati Ouhabaz
We consider a non-autonomous form $\fra:[0,T]\times V\times V \to \C$ where is a Hilbert space which is densely and continuously embedded in another Hilbert space . Denote b…
Cauchy problem for effectively hyperbolic operators with triple characteristics of variable multiplicity
Enrico Bernardi, Antonio Bove, Vesselin Petkov
We study a class of third order hyperbolic operators in with triple characteristics at $ρ= (0, x_0, ξ), ξ\in {…
Analysis of the heat kernel of the Dirichlet-to-Neumann operator
A. F. M. ter Elst, E. M. Ouhabaz
We prove Poisson upper bounds for the kernel of the semigroup generated by the Dirichlet-to-Neumann operator if the underlying domain is bounded and has a -boundary.…