Results 221 to 230 of about 33,386 (268)
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Phosphodiesterases (PDEs) and PDE inhibitors for treatment of LUTS
Neurourology and Urodynamics, 2007Lower urinary tract (LUT) smooth muscle can be relaxed by drugs that increase intracellular concentrations of cyclic adenosine monophosphate (cAMP) and cyclic guanosine monophosphate (cGMP). Both of these substances are degraded by phosphodiesterases (PDEs), which play a central role in the regulation of smooth muscle tone.
Karl-Erik, Andersson +3 more
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(CO)Bordisms in PDEs and quantum PDEs
Reports on Mathematical Physics, 1996zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Asymptotic Methods in Nonlinear Wave Phenomena, 2007
Within the context of the inverse Lie problem the question whether there exist PDEs that are characterized by their Lie point symmetries may be addressed. In a recent paper the authors called these equations Lie remarkable. In this paper we exhibit various examples of Lie remarkable equations, including some multidimensional Monge-Ampere type equations.
F. OLIVERI +2 more
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Within the context of the inverse Lie problem the question whether there exist PDEs that are characterized by their Lie point symmetries may be addressed. In a recent paper the authors called these equations Lie remarkable. In this paper we exhibit various examples of Lie remarkable equations, including some multidimensional Monge-Ampere type equations.
F. OLIVERI +2 more
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Annual Reviews in Control, 2007
Abstract This paper presents several recently developed techniques for adaptive control of PDE systems. Three different design methods are employed—the Lyapunov design, the passivity-based design, and the swapping design. The basic ideas for each design are introduced through benchmark plants with constant unknown coefficients.
Miroslav Krstic, Andrey Smyshlyaev
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Abstract This paper presents several recently developed techniques for adaptive control of PDE systems. Three different design methods are employed—the Lyapunov design, the passivity-based design, and the swapping design. The basic ideas for each design are introduced through benchmark plants with constant unknown coefficients.
Miroslav Krstic, Andrey Smyshlyaev
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2018
This chapter of the book is devoted to the study of parabolic–parabolic PDE loops by means of the small-gain methodology. The results contained in the present chapter allow the existence of non-local reaction terms (both distributed terms and boundary terms) as well as distributed and boundary inputs.
Iasson Karafyllis, Miroslav Krstic
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This chapter of the book is devoted to the study of parabolic–parabolic PDE loops by means of the small-gain methodology. The results contained in the present chapter allow the existence of non-local reaction terms (both distributed terms and boundary terms) as well as distributed and boundary inputs.
Iasson Karafyllis, Miroslav Krstic
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On the conservation laws of PDEs
Reports on Mathematical Physics, 1988The covariance of methods for obtaining conservation laws for nonlinear partial differential equations is studied [the second author, Riv. Nuovo Cim. 5, No.4, 1-122 (1982; see the review above) and \textit{A. M. Vinogradov}, J. Math. Anal. Appl. 100, 41-129 (1985; Zbl 0548.58015)].
MARINO V, PRASTARO, Agostino
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2018
The chapter is devoted to the development of the small-gain methodology for coupled 1-D, hyperbolic, first-order PDEs under the presence of external inputs. Our aim is the derivation of sufficient conditions that guarantee ISS for a given system of coupled hyperbolic PDEs. Globally, Lipschitz nonlinear, non-local terms are allowed to be present both in
Iasson Karafyllis, Miroslav Krstic
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The chapter is devoted to the development of the small-gain methodology for coupled 1-D, hyperbolic, first-order PDEs under the presence of external inputs. Our aim is the derivation of sufficient conditions that guarantee ISS for a given system of coupled hyperbolic PDEs. Globally, Lipschitz nonlinear, non-local terms are allowed to be present both in
Iasson Karafyllis, Miroslav Krstic
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2009
In this chapter we deal with cascades of parabolic and second-order hyperbolic PDEs. These are example problems. The parabolic-hyperbolic cascade is represented by a heat equation at the input of an antistable wave equation. The hyperbolic-parabolic cascade is represented by a wave equation at the input of an unstable reaction-diffusion equation.
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In this chapter we deal with cascades of parabolic and second-order hyperbolic PDEs. These are example problems. The parabolic-hyperbolic cascade is represented by a heat equation at the input of an antistable wave equation. The hyperbolic-parabolic cascade is represented by a wave equation at the input of an unstable reaction-diffusion equation.
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Quaestiones Mathematicae, 2000
Click on the link to view the abstract.Quaestiones Mathematicae 23(2000), 495 ...
Smet, A., Verschoren, A.
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Click on the link to view the abstract.Quaestiones Mathematicae 23(2000), 495 ...
Smet, A., Verschoren, A.
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2003
The spine of an object is an entity that can characterise the object’s topology and describes the object by a lower dimension. It has an intuitive appeal for supporting geometric modelling operations.
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The spine of an object is an entity that can characterise the object’s topology and describes the object by a lower dimension. It has an intuitive appeal for supporting geometric modelling operations.
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