AbstractWe characterize existence and uniqueness of solutions for a linear integro-differential equation in Hölder spaces. Our method is based on operator-valued Fourier multipliers. The solutions we consider may be unbounded. Concrete equations of the type we study arise in the modeling of heat conduction in materials with memory
In this paper we determine a (possibly) non-continuous scalar relaxation kernel of bounded variatio...
This dissertation is divided into two main topics. First, we study transmission problems for ellipti...
The main purpose of this paper is to obtain the existence of global solutions to semilinear integro-...
Abstract. Operator-valued Fourier multiplier theorems are used to establish maximal regularity resul...
AbstractOperator-valued Fourier multipliers are used to study well-posedness of integro-differential...
Abstract. Operator-valued Fourier multipliers are used to study well-posedness of integro-differenti...
Abstract. We use Fourier multiplier theorems to establish maximal regularity results for a class of ...
AbstractThe "limiting equation" results for integrodifferential equations in finite dimensional spac...
AbstractWe study a variety of scalar integro-differential equations with singular kernels including ...
We prove uniqueness and continuous dependence results for a severely ill-posed linear integrodiffere...
Using energy estimates we discuss global existence and uniqueness of solutions to the integro differ...
AbstractWe characterize existence and uniqueness of solutions of an inhomogeneous abstract delay equ...
Existence and uniqueness of the solution admitted by an evolution problem in the framework of heat c...
AbstractResults of existence, uniqueness, and regularity for strict and classical solutions of linea...
Recently a new theory of heat conduction has appeared in the literature. The raison d'etre of this t...
In this paper we determine a (possibly) non-continuous scalar relaxation kernel of bounded variatio...
This dissertation is divided into two main topics. First, we study transmission problems for ellipti...
The main purpose of this paper is to obtain the existence of global solutions to semilinear integro-...
Abstract. Operator-valued Fourier multiplier theorems are used to establish maximal regularity resul...
AbstractOperator-valued Fourier multipliers are used to study well-posedness of integro-differential...
Abstract. Operator-valued Fourier multipliers are used to study well-posedness of integro-differenti...
Abstract. We use Fourier multiplier theorems to establish maximal regularity results for a class of ...
AbstractThe "limiting equation" results for integrodifferential equations in finite dimensional spac...
AbstractWe study a variety of scalar integro-differential equations with singular kernels including ...
We prove uniqueness and continuous dependence results for a severely ill-posed linear integrodiffere...
Using energy estimates we discuss global existence and uniqueness of solutions to the integro differ...
AbstractWe characterize existence and uniqueness of solutions of an inhomogeneous abstract delay equ...
Existence and uniqueness of the solution admitted by an evolution problem in the framework of heat c...
AbstractResults of existence, uniqueness, and regularity for strict and classical solutions of linea...
Recently a new theory of heat conduction has appeared in the literature. The raison d'etre of this t...
In this paper we determine a (possibly) non-continuous scalar relaxation kernel of bounded variatio...
This dissertation is divided into two main topics. First, we study transmission problems for ellipti...
The main purpose of this paper is to obtain the existence of global solutions to semilinear integro-...
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