Various notions of dissipativity for partial differential operators and their applications are surveyed. We deal with functional dissipativity and its particular case L-p-dissipativity. Most of the results are due to the authors.Funding Agencies|RUDN University Strategic Academic Leadership Program</p
In this chapter we introduce the dissipation function, and discuss the behaviour of its extrema. The...
A new definition of dissipativity is proposed. It is purely in terms of the rate of supply that goes...
We prove that the algebraic condition $|p-2|\, |\lan Im A\xi,\xi\ran| \leq 2 \sqrt{p-1}\, \lan Re A\...
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...
In the present paper we survey some recent results obtained with Vladimir Maz’ya. They concern the $...
The first part of the paper is a survey of some of the results previously obtained by the authors co...
After introducing the concept of functional dissipativity of the Dirichlet problem in a domain Ω⊂RN ...
The first part of the paper is a survey of some of the results previously obtained by the authors co...
We give complete algebraic characterizations of the $L^{p}$-dissipativity of the Dirichlet problem f...
second editionInternational audienceDissipative Systems Analysis and Control (second edition) presen...
Dissipativity is an essential concept of systems theory. The paper provides an extension of dissipat...
We find necessary and sufficient conditions for the (Formula presented.)-dissipativity of the Dirich...
In this chapter the general theory of dissipative systems is treated, laying much of the foundation ...
This article surveys some recent applications of ideas from dynamical sys-tems theory to understand ...
In this chapter we introduce the dissipation function, and discuss the behaviour of its extrema. The...
A new definition of dissipativity is proposed. It is purely in terms of the rate of supply that goes...
We prove that the algebraic condition $|p-2|\, |\lan Im A\xi,\xi\ran| \leq 2 \sqrt{p-1}\, \lan Re A\...
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...
In the present paper we survey some recent results obtained with Vladimir Maz’ya. They concern the $...
The first part of the paper is a survey of some of the results previously obtained by the authors co...
After introducing the concept of functional dissipativity of the Dirichlet problem in a domain Ω⊂RN ...
The first part of the paper is a survey of some of the results previously obtained by the authors co...
We give complete algebraic characterizations of the $L^{p}$-dissipativity of the Dirichlet problem f...
second editionInternational audienceDissipative Systems Analysis and Control (second edition) presen...
Dissipativity is an essential concept of systems theory. The paper provides an extension of dissipat...
We find necessary and sufficient conditions for the (Formula presented.)-dissipativity of the Dirich...
In this chapter the general theory of dissipative systems is treated, laying much of the foundation ...
This article surveys some recent applications of ideas from dynamical sys-tems theory to understand ...
In this chapter we introduce the dissipation function, and discuss the behaviour of its extrema. The...
A new definition of dissipativity is proposed. It is purely in terms of the rate of supply that goes...
We prove that the algebraic condition $|p-2|\, |\lan Im A\xi,\xi\ran| \leq 2 \sqrt{p-1}\, \lan Re A\...
DOI
Add to ORKG