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Dive into the research topics where Ph. Clément is active.

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Featured researches published by Ph. Clément.


Siam Journal on Mathematical Analysis | 1981

Asymptotic Behavior of Solutions of Nonlinear Volterra Equations with Completely Positive Kernels

Ph. Clément; J. A. Nohel

We consider the nonlinear Volterra equation \[ ({\text{V}})\qquad u(t) + (b * Au)(t) \ni f(t),\quad0 \leqq t < \infty \] in the general setting


Siam Journal on Mathematical Analysis | 1979

Abstract Linear and Nonlinear Volterra Equations Preserving Positivity

Ph. Clément; J. A. Nohel

b:[0,\infty ) \to R


Integral Equations and Operator Theory | 1988

Existence and regularity results for an integral equation with infinite delay in a Banach space

Ph. Clément; G. Da Prato

a given kernel, A a nonlinear m-accretive operator on a real Banach space


Journal of Functional Analysis | 1991

Examples of unbounded imaginary powers of operators

J.B. Baillon; Ph. Clément

X,f:[0,\infty ) \to X


Transactions of the American Mathematical Society | 2000

Schauder estimates for equations with fractional derivatives

Ph. Clément; Gustaf Gripenberg; S-O. Londen

a given function and


Proceedings of the Royal Society of Edinburgh: Section A Mathematics | 1988

Perturbation theory for dual semigroups II. Time-dependent perturbations in the sun-reflexive case

Ph. Clément; Odo Diekmann; Mats Gyllenberg; Henk Heijmans; Horst R. Thieme

*


Archive for Rational Mechanics and Analysis | 1991

A Variational approach to a problem of rotating rods

Ph. Clément; J. Descloux

the convolution. We study the existence of positive solutions of (V) and their asymptotic behavior as


Israel Journal of Mathematics | 1980

On abstract Volterra equations with kernels having a positive resolvent

Ph. Clément

t \to \infty


Communications in Contemporary Mathematics | 2002

MOUNTAIN PASS TYPE SOLUTIONS FOR QUASILINEAR ELLIPTIC INCLUSIONS

Ph. Clément; Marta García-Huidobro; Raúl Manásevich

, together with estimates of their rates of decay, under physically reasonable assumptions on b, A, f motivated by the problem of heat flow in materials with memory. The concept of complete positivity of the kernel b and its characterization play a crucial role in the analysis.


Archive | 1999

Hölder Regularity for a Linear Fractional Evolution Equation

Ph. Clément; Gustaf Gripenberg; S-O. Londen

Let X be a real or complex Banach space. We study the Volterra equation \[({\text{v}})\qquad u(t) + \int_0^t {a(t - s)Au(s)\,ds} = f(t)\quad (0 \leqq t \leqq T,T > 0),\] where a is a given kernel, A is a bounded or unbounded linear operator from X to X, and f is a given function with values in X. (Of particular importance is the case

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Gustaf Gripenberg

Helsinki University of Technology

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S-O. Londen

Helsinki University of Technology

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W.T. van Horssen

Delft University of Technology

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Andreas Greven

University of Erlangen-Nuremberg

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Darmawijoyo

Delft University of Technology

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H.G. Meijer

Delft University of Technology

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