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Identification problems for degenerate parabolic equations
This paper deals with multivalued identification problems for parabolic equations. The problem consists of recovering a source term from the...
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Nonlocal stochastic differential equations: Existence and uniqueness of solutions
The focus of interest is the existence of strong solutions to stochastic functional differential equations which are not restricted to pathwise...
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The Role of Frame Force in Quantum Detection
A general method is given to solve tight frame optimization problems, borrowing notions from classical mechanics. In this article, we focus on a...
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An existence theorem for a type of functional differential equation with infinite delay
We prove an existence theorem for a functional differential equation with infinite delay using the Schauder fixpoint theorem. We extend a result in...
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A Measure-Valued Approach to Convex Set-Valued Dynamics
In this paper we introduce a new concept of differentiable set-valued dynamics and show the existence of solution curves. To do this we introduce...
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A second-order partial differential equation of the form
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Filippov and invariance theorems for mutational inclusions of tubes
The framework of transitions and mutational calculus inspired by shape optimization allows the notions of derivative, tangent cone, and differential...
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Mutational equations in metric spaces
This paper summarizes an extension of differential calculus to a mutational calculus for maps from one metric space to another. The simple idea is to...
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