The first part of the paper is a survey of some of the results previously obtained by the authors concerning the Lp-dissipativity of scalar and matrix partial differential operators. In the second part we give new necessary and, separately, sufficient conditions for the Lp-dissipativity of the “complex oblique derivative” operator. In the case of real coefficients we provide a necessary and sufficient condition. We prove also the Lp-positivity for a certain class of integral operators
summary:Given a Hilbert space $H$ with a Borel probability measure $\nu $, we prove the $m$-dissipat...
I Wellposedness of linear evolution partial differential equa-tions 5 1 Semigroups of linear operato...
We find necessary and sufficient conditions for the (Formula presented.)-dissipativity of the Dirich...
The first part of the paper is a survey of some of the results previously obtained by the authors co...
The first part of the paper is a survey of some of the results previously obtained by the authors co...
In the present paper we survey some recent results obtained with Vladimir Maz’ya. They concern the $...
Various notions of dissipativity for partial differential operators and their applications are surve...
Various notions of dissipativity for partial differential operators and their applications are surve...
We prove that the algebraic condition $|p-2|\, |\lan Im A\xi,\xi\ran| \leq 2 \sqrt{p-1}\, \lan Re A\...
We give complete algebraic characterizations of the $L^{p}$-dissipativity of the Dirichlet problem f...
AbstractWe prove that the algebraic condition |p−2||〈ImAξ,ξ〉|⩽2p−1〈ReAξ,ξ〉 (for any ξ∈Rn) is necessa...
After introducing the concept of functional dissipativity of the Dirichlet problem in a domain Ω⊂RN ...
The authors give a short survey about the LP-continuity of pseudo-differential operators both with s...
This paper is concerned with the linear differential operator m a j-1 ax5 L = 2 A i- + B
In the present paper we consider the Dirichlet problem for the second order differential operator E ...
summary:Given a Hilbert space $H$ with a Borel probability measure $\nu $, we prove the $m$-dissipat...
I Wellposedness of linear evolution partial differential equa-tions 5 1 Semigroups of linear operato...
We find necessary and sufficient conditions for the (Formula presented.)-dissipativity of the Dirich...
The first part of the paper is a survey of some of the results previously obtained by the authors co...
The first part of the paper is a survey of some of the results previously obtained by the authors co...
In the present paper we survey some recent results obtained with Vladimir Maz’ya. They concern the $...
Various notions of dissipativity for partial differential operators and their applications are surve...
Various notions of dissipativity for partial differential operators and their applications are surve...
We prove that the algebraic condition $|p-2|\, |\lan Im A\xi,\xi\ran| \leq 2 \sqrt{p-1}\, \lan Re A\...
We give complete algebraic characterizations of the $L^{p}$-dissipativity of the Dirichlet problem f...
AbstractWe prove that the algebraic condition |p−2||〈ImAξ,ξ〉|⩽2p−1〈ReAξ,ξ〉 (for any ξ∈Rn) is necessa...
After introducing the concept of functional dissipativity of the Dirichlet problem in a domain Ω⊂RN ...
The authors give a short survey about the LP-continuity of pseudo-differential operators both with s...
This paper is concerned with the linear differential operator m a j-1 ax5 L = 2 A i- + B
In the present paper we consider the Dirichlet problem for the second order differential operator E ...
summary:Given a Hilbert space $H$ with a Borel probability measure $\nu $, we prove the $m$-dissipat...
I Wellposedness of linear evolution partial differential equa-tions 5 1 Semigroups of linear operato...
We find necessary and sufficient conditions for the (Formula presented.)-dissipativity of the Dirich...