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The Stochastic Control Model for Use Conversion of Land
In this paper, the authors investigate the optimal conversion rate at which land use is irreversibly converted from biodiversity conservation to...
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A new class of problems in the calculus of variations
This paper investigates an infinite-horizon problem in the one-dimensional calculus of variations, arising from the Ramsey model of endogeneous...
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Solvability and iterative approximations for a functional equation
This paper studies the existence, uniqueness and iterative approximations of solutions, bounded solutions and continuous bounded solutions for a...
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Fixed point theorems for map**s satisfying contractive conditions of integral type and applications
In this paper, the existence, uniqueness and iterative approximations of fixed points for contractive map**s of integral type in complete metric...
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A Probabilistic Deformation of Calculus of Variations with Constraints
In the framework of a probabilistic deformation of the classical calculus of variations, we consider the simplest problem of constraints, and solve... -
Functional Inequalities and Hamilton–Jacobi Equations in Geodesic Spaces
We study the connection between the p -Talagrand inequality and the q -logarithmic Sololev inequality for conjugate exponents p ≥ 2, q ≤ 2 in proper...
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Limit theorems for optimal mass transportation
The optimal mass transportation was introduced by Monge some 200 years ago and is, today, the source of large number of results in analysis, geometry...
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Boundary singularities and characteristics of Hamilton–Jacobi equation
Boundary-value problems for first order PDEs are locally considered, when the classical sufficient condition for the solution existence does not...
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Graduated adaptive image denoising: local compromise between total variation and isotropic diffusion
We introduce variants of the variational image denoising method proposed by Blomgren et al. (In: Numerical Analysis 1999 (Dundee), pp. 43–67. Chapman...
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Propagation and bifurcation of cracks based on implicit surfaces and discontinuous velocities
Cracks and their propagation with a given kinematic velocity are described as zero-level sets of a non-negative scalar function satisfying a...
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Existence and Uniqueness of Solutions for two Classes of Functional Equations Arising in Dynamic Programming
In this paper we establish the existence, uniqueness and iterative approximation of solutions for two classes of functional equations arising in...
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Properties of Solutions for Certain Functional Equations Arising in Dynamic Programming
In this paper, we introduce and study properties of solutions for the following functional equation arising in dynamic programming of multistage...
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Geometry of Optimal Paths around Focal Singular Surfaces in Differential Games
We investigate a special type of singularity in non-smooth solutions of first-order partial differential equations, with emphasis on Isaacs’...
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Optimal Control of Hybrid Systems with an Infinite Set of Discrete States
Hybrid control systems are described by a family of continuous subsystems and a set of logic rules for switching between them. This paper concerns a...
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Embedding Complexity and Discrete Optimization I: A New Divide and Conquer Approach to Discrete Optimization
In this paper, we introduce a new and quite natural way of analyzing instances of discrete optimization problems in terms of what we call the...