Results 21 to 30 of about 4,818,273 (341)
The uniqueness of the solution for the definite problem of a parabolic variational inequality
Journal of Inequalities and Applications, 2016 The uniqueness of the solution for the definite problem of a parabolic variational inequality is proved. The problem comes from the study of the optimal exercise strategies for the perpetual executive stock options with unrestricted exercise in financial
Liping Song, Wanghui Yu
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Maximum Principles for Matrix-Valued Analytic Functions [PDF]
The American mathematical monthly, 2019 To what extent is the maximum modulus principle for scalar-valued analytic functions valid for matrix-valued analytic functions? In response, we discuss some maximum norm principles for such functions that do not appear to be widely known, deduce maximum
Alberto A. Condori
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Properties of switching jump diffusions: Maximum principles and Harnack inequalities [PDF]
Bernoulli, 2018 This work examines a class of switching jump diffusion processes. The main effort is devoted to proving the maximum principle and obtaining the Harnack inequalities.
Xiaoshan Chen +3 more
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Maximum principle for hypersurfaces [PDF]
Manuscripta Mathematica, 1989 Let \(M\) be a Riemannian or Lorentzian manifold. Firstly, the author gives a short proof of the following interior maximum principle for hypersurfaces; Let \(W_+\) and \(W_-\) be disjoint open domains in \(M\) with spacelike connected \(C^2\)-boundaries having a point in common.
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Strong maximum principles for fractional Laplacians [PDF]
Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 2016 We give a unified approach to strong maximum principles for a large class of nonlocal operators of order s ∈ (0, 1) that includes the Dirichlet, the Neumann Restricted (or Regional) and the Neumann Semirestricted Laplacians.
R. Musina, A. Nazarov
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About nondecreasing solutions for first order neutral functional differential equations
Electronic Journal of Qualitative Theory of Differential Equations, 2012 Conditions that solutions of the first order neutral functional differential equation \[ (Mx)(t)\equiv x^{\prime }(t)-(Sx^{\prime })(t)-(Ax)(t)+(Bx)(t)=f(t), t\in \lbrack 0,\omega ], \] are nondecreasing are obtained.
Alexander Domoshnitsky +2 more
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A note on boundary point principles for partial differential inequalities of elliptic type
Boundary Value Problems, 2022 In this note we consider boundary point principles for partial differential inequalities of elliptic type. First, we highlight the difference between the conditions required to establish classical strong maximum principles and classical boundary point ...
John Christopher Meyer
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On the loss of maximum principles for higher-order fractional Laplacians
Proceedings of the American Mathematical Society, 2018 We study existence and positivity of solutions to problems involving higher-order fractional Laplacians (−∆)s for any s > 1. In particular, using a suitable variational framework and the nonlocal properties of these operators, we provide an explicit ...
Nicola Abatangelo +2 more
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On the strong maximum principle [PDF]
Proceedings of the American Mathematical Society, 2001 This paper is concerned with the variational problem: \[ \text{minimize }\int_\Omega f(|\nabla u|) \,dx \quad\text{on }u^0+ W_0^{1,1}(\Omega), \tag{1} \] where \(u^0\) is a given function in \(W^{1,1}(\Omega)\) and \(f\) is a nonnegative, extended valued, lower semicontinuous, and convex function on \(\mathbb R\) such that \(f(0)= 0\), and where ...
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Maximum principles for parabolic systems coupled in both first-order and zero-order terms
International Journal of Mathematics and Mathematical Sciences, 1994 Some generalized maximum principles are established for linear second-order parabolic systems in which both first-order and zero-order terms are coupled.
Chiping Zhou
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