46 research outputs found
A note on maximal estimates for stochastic convolutions
In stochastic partial differential equations it is important to have pathwise
regularity properties of stochastic convolutions. In this note we present a new
sufficient condition for the pathwise continuity of stochastic convolutions in
Banach spaces.Comment: Minor correction
Cα-regularity for nonautonomous linear integro-differential equations of parabolic type
AbstractLinear integrodifferential equations in general Banach space are studied and applications are given to linear integrodifferential partial differential equations
Identifying a BV-kernel in an hyperbolic integrodifferential equation
This paper is devoted to determining the scalar relaxation kernel
a in a second-order (in time) integrodifferential equation related to a Banach
space when an additional measurement involving the state function is available.
A result concerning global existence and uniqueness is proved.
The novelty of this paper consists in looking for the kernel a in the Banach
space BV (0, T), consisting of functions of bounded variations, instead of the
space W1,1(0, T) used up to now to identify a.
An application is given, in the framework of L2-spaces, to the case of hyperbolic
second-order integrodifferential equations endowed with initial and
Dirichlet boundary conditions
Regularity and identification for an integrodifferential one-dimensional hyperbolic equation
In this paper we determine a (possibly) non-continuous scalar relaxation
kernel of bounded variation in an integrodifferential equation related
to a Banach space when a nonlocal additional measurement involving the state function is available. We prove a result concerning global existence and uniqueness.
An application is given, in the framework of space of continuous functions, to the case of one-dimensional hyperbolic second-order integrodifferential equations
endowed with initial and Dirichlet boundary conditions