Results 31 to 40 of about 412 (197)
A Refined Subsolution Estimate of Weak Subsolutions to Second Order Linear Elliptic Equations with a Singular Vector Field [PDF]
Tokyo Journal of Mathematics, 2015 We consider second order linear elliptic equations $ - \div (A(x) \nabla u) + \mathbf{b}(x) \cdot \nabla u = 0$ with a singular vector field $\mathbf{b}$. We prove a refined subsolution estimate, which contains a precise dependence of the quantities of $\mathbf{b}$, for weak subsolutions and a weak Harnack inequality for weak supersolutions under ...
Takanobu Hara
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The Hölder continuous subsolution theorem for complex Hessian equations [PDF]
Journal de l’École polytechnique — Mathématiques, 2020 Let Ω⋐ℂ n be a bounded strongly m-pseudoconvex domain (1≤m≤n) and μ a positive Borel measure with finite mass on Ω. We solve the Hölder continuous subsolution problem for the complex Hessian equation (dd c u) m ∧β n-m =μ on Ω. Namely, we show that this equation admits a unique Hölder continuous solution on Ω ¯ with given Hölder continuous boundary ...
Benali, Amel, Zeriahi, Ahmed
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Subsolutions and supersolutions in a free boundary problem [PDF]
Arkiv för Matematik, 1994 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Antoine Henrot
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Erratum to “The Hölder continuous subsolution theorem for complex Hessian equations” [PDF]
Journal de l’École polytechnique — Mathématiques, 2021 The statement and the proof of Theorem B in [BZ20] are not complete, except when the boundary datum g vanishes identically. We give here the correct version of the statement as well as a complete proof.
Benali, Amel, Zeriahi, Ahmed
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Qualitative properties of bounded subsolutions of nonlinear PDEs [PDF]
Journal de Mathématiques Pures et Appliquées, 2020 29 pages.
Bianchi D., Pigola S., Setti A. G.
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International Journal of Analysis and Applications, 2023 In this paper, we prove uniform convergence of the standard finite element method for a Schwarz alternating procedure for a class of semi-linear elliptic partial differential equations, in the context of linear iterations and non-matching grids.
Qais Al Farei, Messaoud Boulbrachene
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Importance sampling for non-Markovian tandem queues using subsolutions [PDF]
Queueing Systems, 2019 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Anne Buijsrogge +2 more
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Electronic Journal of Qualitative Theory of Differential Equations, 2018 One of the important concept in population dynamics is finding conditions under which the population can coexist. Mathematically formulation of this problem we call permanence or uniform persistence.
Joanna Balbus
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Self-Similar Subsolutions and Blowup for Nonlinear Parabolic Equations
Journal of Mathematical Analysis and Applications, 1997 Summary: For a wide class of nonlinear parabolic equations of the form \(u_t-\Delta u=F(u, \nabla u)\), we give finite time blow-up results for large initial data. Blow-up time estimates are also provided. These results rely on a new method of comparison with suitable blowing up self-similar subsolutions.
Souplet, Philippe, Weissler, Fred B
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Hessian equations of Krylov type on compact Hermitian manifolds
Open Mathematics, 2022 In this article, we are concerned with the equations of Krylov type on compact Hermitian manifolds, which are in the form of the linear combinations of the elementary symmetric functions of a Hermitian matrix.
Zhou Jundong, Chu Yawei
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