Results 111 to 120 of about 186 (147)
Global stability of steady states in the classical Stefan problem for general boundary shapes. [PDF]
Philos Trans A Math Phys Eng Sci, 2015 Hadžić M, Shkoller S.
europepmc +1 more source
Mass concentration in a nonlocal model of clonal selection. [PDF]
J Math Biol, 2016 Busse JE +2 more
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Mathematical modelling and analysis of the adaptive dynamics in mosquito populations: uniform persistence of malaria infection. [PDF]
J Math BiolDiop B, Ducrot A, Seydi O.
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A supersolutions perspective on hypercontractivity [PDF]
Annali Di Matematica Pura Ed Applicata, 2020 The purpose of this article is to expose an algebraic closure property of supersolutions to certain diffusion equations. This closure property quickly gives rise to a monotone quantity which generates a hypercontractivity inequality. Our abstract argument applies to a general Markov semigroup whose generator is a diffusion and satisfies a curvature ...
Shuji Machihara +2 more
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Minimal supersolutions of BSDEs with lower semicontinuous generators [PDF]
Annales De L'institut Henri Poincare (B) Probability and Statistics, 2014 We study the existence and uniqueness of minimal supersolutions of backward stochastic differential equations with generators that are jointly lower semicontinuous, bounded below by an affine function of the control variable and satisfy a specific normalization property.
Michael Kupper
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Minimal supersolutions of convex BSDEs
Annals of Probability, 2013 Published in at http://dx.doi.org/10.1214/13-AOP834 the Annals of Probability (http://www.imstat.org/aop/) by the Institute of Mathematical Statistics (http://www.imstat.org)
Samuel Drapeau, Michael Kupper
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Fractional Kirchhoff-Type and Method of Sub-supersolutions
Differential Equations and Dynamical Systems, 2023 In the present paper, we are interested in investigating the existence of positive solutions of a new class of fractional Kirchhoff via the sub and supersolutions technique. For this, we first need to investigate two results through lemmas.
JOSÉ Vanterler Sousa +1 more
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Dual representation of minimal supersolutions of convex BSDEs
Annales De L'institut Henri Poincare (B) Probability and Statistics, 2016 We give a dual representation of minimal supersolutions of BSDEs with non-bounded, but integrable terminal conditions and under weak requirements on the generator which is allowed to depend on the value process of the equation. Conversely, we show that any dynamic risk measure satisfying such a dual representation stems from a BSDE.
Samuel Drapeau +2 more
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Supersolutions for a class of semilinear heat equations [PDF]
Revista Matematica Complutense, 2012 A semilinear heat equation $u_{t}=Δu+f(u)$ with nonnegative initial data in a subset of $L^{1}(Ω)$ is considered under the assumption that $f$ is nonnegative and nondecreasing and $Ω\subseteq \R^{n}$. A simple technique for proving existence and regularity based on the existence of supersolutions is presented, then a method of construction of local and
Mikołaj Sierzega +2 more
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