Results 21 to 30 of about 186 (147)
Unbounded supersolutions of some quasilinear parabolic equations: A dichotomy [PDF]
Nonlinear Analysis, 2016 We study unbounded (viscosity) supersolutions of the Evolutionary p-Laplace Equation in the slow diffusion case. The supersolutions fall into two widely different classes, depending on whether they are locally summable to the power p-2 or not. Also the Porous Medium Equation is studied.
Kinnunen, Juha, Lindqvist, Peter
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The sub-supersolution method for weak solutions [PDF]
Proceedings of the American Mathematical Society, 2008 Summary: We extend the method of sub- and supersolutions in order to prove existence of \(L^1\)-solutions of the equation \(-\Delta u = f(x,u)\) in \(\Omega\), where \(f\) is a Carathéodory function. The proof is based on the Schauder's fixed point theorem.
Montenegro, Marcelo, Ponce, Augusto C.
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Positiveness of Nonnegative Supersolutions of Elliptic Equations [PDF]
Proceedings of the American Mathematical Society, 1991 We prove the positiveness of the nonnegative supersolutions of equation (1), provided that the solutions are nontrivial whenever the structure condition (2) is fulfilled by A and B. Let G be a bounded domain in the n-dimensional Euclidean space E . Let p > 1, W (G), and W>(G) be the usual Sobolev spaces.
Liang Xiting, Yu Mingqi
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Approximate Reachability for Feedback Linearizable Systems
Optimal Control Applications and Methods, EarlyView.The backwards reachable set for a dynamical system is the set of states for which there exists a constraint admissible trajectory that reaches a given terminal set. Conventional grid‐based approaches for computing these sets are intractable for many applications.
Vincent Liu +2 more
wiley +1 more source
Asymptotic behavior of positive solutions of a semilinear Dirichlet problem in the annulus [PDF]
Opuscula Mathematica, 2015 In this paper, we establish existence and asymptotic behavior of a positive classical solution to the following semilinear boundary value problem: \[-\Delta u=q(x)u^{\sigma }\;\text{in}\;\Omega,\quad u_{|\partial\Omega}=0.\] Here \(\Omega\) is an annulus
Safa Dridi, Bilel Khamessi
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Nonlinear Analysis, 2016 This paper is concerned with a nonlocal reaction-diffusion equation with the nonlocal source and interior absorption with Dirichlet conditions or Neumann conditions.
Jiashan Zheng
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Equilibrium Reward for Liquidity Providers in Automated Market Makers
Mathematical Finance, EarlyView.ABSTRACT We find the equilibrium contract that an automated market maker (AMM) offers to their strategic liquidity providers (LPs) in order to maximize the order flow that gets processed by the venue. Our model is formulated as a leader–follower stochastic game, where the venue is the leader and a representative LP is the follower.
Alif Aqsha +2 more
wiley +1 more source
On the theory of entropy suband supersolutions of nonlinear degenerate parabolic equations
Современная математика: Фундаментальные направления, 2023 We consider a second-order nonlinear degenerate anisotropic parabolic equation in the case when the flux vector is only continuous and the nonnegative diffusion matrix is bounded and measurable.
E. Yu. Panov
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Random Carbon Tax Policy and Investment Into Emission Abatement Technologies
Mathematical Finance, EarlyView.ABSTRACT We analyze the problem of a profit‐maximizing electricity producer, subject to carbon taxes, who decides on investments into CO2$\rm CO_2$ abatement technologies. We assume that the carbon tax policy is random and that the investment in the abatement technology is divisible, irreversible, and subject to transaction costs.
Katia Colaneri +2 more
wiley +1 more source
Interaction of Traveling Curved Fronts in Bistable Reaction-Diffusion Equations in R2
Journal of Mathematics, 2017 We consider the interaction of traveling curved fronts in bistable reaction-diffusion equations in two-dimensional spaces. We first characterize the growth of the traveling curved fronts at infinity; then by constructing appropriate subsolutions and ...
Nai-Wei Liu
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