The Experts below are selected from a list of 318 Experts worldwide ranked by ideXlab platform
Eugenio Massa - One of the best experts on this subject based on the ideXlab platform.
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on a Variational Characterization of the fucik spectrum of the laplacian and a superlinear sturm liouville equation
Proceedings of The Royal Society A: Mathematical Physical and Engineering Sciences, 2004Co-Authors: Eugenio MassaAbstract:In the first part of this paper, a Variational Characterization of parts of the Fucik spectrum for the Laplacian in a bounded domain Ω is given. The proof uses a linking theorem on sets obtained through a suitable deformation of subspaces of H 1 (Ω). In the second part, a nonlinear Sturm–Liouville equation with Neumann boundary conditions on an interval is considered, where the nonlinearity intersects all but a finite number of eigenvalues. It is proved that, under certain conditions, this equation is solvable for arbitrary forcing terms. The proof uses a comparison of the minimax levels of the functional associated to this equation with suitable values related to the Fucik spectrum.
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On a Variational Characterization of the Fučík spectrum of the Laplacian and a superlinear Sturm–Liouville equation
Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 2004Co-Authors: Eugenio MassaAbstract:In the first part of this paper, a Variational Characterization of parts of the Fucik spectrum for the Laplacian in a bounded domain Ω is given. The proof uses a linking theorem on sets obtained through a suitable deformation of subspaces of H 1 (Ω). In the second part, a nonlinear Sturm–Liouville equation with Neumann boundary conditions on an interval is considered, where the nonlinearity intersects all but a finite number of eigenvalues. It is proved that, under certain conditions, this equation is solvable for arbitrary forcing terms. The proof uses a comparison of the minimax levels of the functional associated to this equation with suitable values related to the Fucik spectrum.
Alexander S Poznyak - One of the best experts on this subject based on the ideXlab platform.
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a Variational Characterization of the sliding mode control processes
Advances in Computing and Communications, 2012Co-Authors: Vadim Azhmyakov, Alexander S PoznyakAbstract:This paper deals with a new theoretic description of some classes of the conventional sliding mode control processes. We use a Variational Characterization of the first-order variable structures dynamics and extend the corresponding state space formalism. A trajectory of the original systems can finally be specified as a result of a particular system optimization procedure applied to the original model. The presented Variational theory of some sliding mode-type control systems is motivated by an alternative approach to the control design procedure. The mathematical tool of the sliding mode systems theory presented in our paper constitutes a formal extension of the classic Fillipov results.
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ACC - A Variational Characterization of the sliding mode control processes
2012 American Control Conference (ACC), 2012Co-Authors: Vadim Azhmyakov, Alexander S PoznyakAbstract:This paper deals with a new theoretic description of some classes of the conventional sliding mode control processes. We use a Variational Characterization of the first-order variable structures dynamics and extend the corresponding state space formalism. A trajectory of the original systems can finally be specified as a result of a particular system optimization procedure applied to the original model. The presented Variational theory of some sliding mode-type control systems is motivated by an alternative approach to the control design procedure. The mathematical tool of the sliding mode systems theory presented in our paper constitutes a formal extension of the classic Fillipov results.
Vadim Azhmyakov - One of the best experts on this subject based on the ideXlab platform.
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a Variational Characterization of the sliding mode control processes
Advances in Computing and Communications, 2012Co-Authors: Vadim Azhmyakov, Alexander S PoznyakAbstract:This paper deals with a new theoretic description of some classes of the conventional sliding mode control processes. We use a Variational Characterization of the first-order variable structures dynamics and extend the corresponding state space formalism. A trajectory of the original systems can finally be specified as a result of a particular system optimization procedure applied to the original model. The presented Variational theory of some sliding mode-type control systems is motivated by an alternative approach to the control design procedure. The mathematical tool of the sliding mode systems theory presented in our paper constitutes a formal extension of the classic Fillipov results.
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ACC - A Variational Characterization of the sliding mode control processes
2012 American Control Conference (ACC), 2012Co-Authors: Vadim Azhmyakov, Alexander S PoznyakAbstract:This paper deals with a new theoretic description of some classes of the conventional sliding mode control processes. We use a Variational Characterization of the first-order variable structures dynamics and extend the corresponding state space formalism. A trajectory of the original systems can finally be specified as a result of a particular system optimization procedure applied to the original model. The presented Variational theory of some sliding mode-type control systems is motivated by an alternative approach to the control design procedure. The mathematical tool of the sliding mode systems theory presented in our paper constitutes a formal extension of the classic Fillipov results.
M. C. Depassier - One of the best experts on this subject based on the ideXlab platform.
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Variational Characterization of the Speed of Propagation of Fronts for the Nonlinear Diffusion Equation
Communications in Mathematical Physics, 1996Co-Authors: Rafael D. Benguria, M. C. DepassierAbstract:We give an integral Variational Characterization for the speed of fronts of the nonlinear diffusion equation $u_t = u_{xx} + f(u)$ with $f(0)=f(1)=0$, and $f>0$ in $(0,1)$, which permits, in principle, the calculation of the exact speed for arbitrary $f$.
Ahmed Zeriahi - One of the best experts on this subject based on the ideXlab platform.
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A Variational approach to complex Monge-Ampère equations
Publications mathématiques de l'IHÉS, 2013Co-Authors: Robert J. Berman, Sébastien Boucksom, Vincent Guedj, Ahmed ZeriahiAbstract:We show that degenerate complex Monge-Ampère equations in a big cohomology class of a compact Kähler manifold can be solved using a Variational method, without relying on Yau’s theorem. Our formulation yields in particular a natural pluricomplex analogue of the classical logarithmic energy of a measure. We also investigate Kähler-Einstein equations on Fano manifolds. Using continuous geodesics in the closure of the space of Kähler metrics and Berndtsson’s positivity of direct images, we extend Ding-Tian’s Variational Characterization and Bando-Mabuchi’s uniqueness result to singular Kähler-Einstein metrics. Finally, using our Variational Characterization we prove the existence, uniqueness and convergence as k →∞ of k -balanced metrics in the sense of Donaldson both in the (anti)canonical case and with respect to a measure of finite pluricomplex energy.
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A Variational approach to complex Monge-Ampère equations
Publications mathématiques de l'IHÉS, 2012Co-Authors: Robert J. Berman, Sébastien Boucksom, Vincent Guedj, Ahmed ZeriahiAbstract:We show that degenerate complex Monge-Ampere equations in a big cohomology class of a compact Kahler manifold can be solved using a Variational method, without relying on Yau’s theorem. Our formulation yields in particular a natural pluricomplex analogue of the classical logarithmic energy of a measure. We also investigate Kahler-Einstein equations on Fano manifolds. Using continuous geodesics in the closure of the space of Kahler metrics and Berndtsson’s positivity of direct images, we extend Ding-Tian’s Variational Characterization and Bando-Mabuchi’s uniqueness result to singular Kahler-Einstein metrics. Finally, using our Variational Characterization we prove the existence, uniqueness and convergence as k→∞ of k-balanced metrics in the sense of Donaldson both in the (anti)canonical case and with respect to a measure of finite pluricomplex energy.
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A Variational approach to complex Monge-Ampere equations
arXiv: Complex Variables, 2009Co-Authors: Robert J. Berman, Sébastien Boucksom, Vincent Guedj, Ahmed ZeriahiAbstract:We show that degenerate complex Monge-Ampere equations in a big cohomology class of a compact Kaehler manifold can be solved using a Variational method independent of Yau's theorem. Our formulation yields in particular a natural pluricomplex analogue of the classical logarithmic energy of a measure. We also investigate Kaehler-Einstein equations on Fano manifolds. Using continuous geodesics in the closure of the space of Kaehler metrics and Berndtsson's positivity of direct images we extend Ding-Tian's Variational Characterization and Bando-Mabuchi's uniqueness result to singular Kaehler-Einstein metrics. Finally using our Variational Characterization we prove the existence, uniqueness and convergence of k-balanced metrics in the sense of Donaldson both in the (anti)canonical case and with respect to a measure of finite pluricomplex energy in our sense.
