Ph. Clément
Delft University of Technology
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Publication
Featured researches published by Ph. Clément.
Siam Journal on Mathematical Analysis | 1981
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
Ph. Clément; J. A. Nohel
b:[0,\infty ) \to R
Integral Equations and Operator Theory | 1988
Ph. Clément; G. Da Prato
a given kernel, A a nonlinear m-accretive operator on a real Banach space
Journal of Functional Analysis | 1991
J.B. Baillon; Ph. Clément
X,f:[0,\infty ) \to X
Transactions of the American Mathematical Society | 2000
Ph. Clément; Gustaf Gripenberg; S-O. Londen
a given function and
Proceedings of the Royal Society of Edinburgh: Section A Mathematics | 1988
Ph. Clément; Odo Diekmann; Mats Gyllenberg; Henk Heijmans; Horst R. Thieme
*
Archive for Rational Mechanics and Analysis | 1991
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
Ph. Clément
t \to \infty
Communications in Contemporary Mathematics | 2002
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
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