Results 81 to 90 of about 6,660 (232)
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
openaire +3 more sources
Polar Coordinates for the 3/2 Stochastic Volatility Model
Mathematical Finance, Volume 35, Issue 3, Page 708-723, July 2025.ABSTRACT The 3/2 stochastic volatility model is a continuous positive process s with a correlated infinitesimal variance process ν$\nu $. The exact definition is provided in the Introduction immediately below. By inspecting the geometry associated with this model, we discover an explicit smooth map ψ$ \psi $ from (R+)2$({\mathbb{R}}^+)^2 $ to the ...
Paul Nekoranik
wiley +1 more source
Existence and comparison results for quasilinear evolution hemivariational inequalities
Electronic Journal of Differential Equations, 2004 We generalize the sub-supersolution method known for weak solutions of single and multivalued nonlinear parabolic problems to quasilinear evolution hemivariational inequalities.
Siegfried Carl +2 more
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Boundary Value Problems, 2006 Let L be a divergence form operator with Lipschitz continuous coefficients in a domain Ω, and let u be a continuous weak solution of Lu=0 in {u≠0}.
Sandro Salsa, Fausto Ferrari
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Uniqueness of subsolutions to the heat equation on Finsler measure spaces [PDF]
, 2023 Qiaoling Xia
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Existence and regularity for integro‐differential free transmission problem
Bulletin of the London Mathematical Society, Volume 57, Issue 7, Page 1923-1937, July 2025.Abstract We study an integro‐differential free transmission problem associated with the Bellman–Isaacs‐type operator that is solution‐dependent. The existence of a viscosity solution is proved by constructing solutions of suitable auxiliary problems for such a nonlocal problem.
Sun‐Sig Byun, Seunghyun Kim
wiley +1 more source
Decay estimates for nonlinear wave equations with variable coefficients
Electronic Journal of Differential Equations, 2019 We study the long-time behavior of solutions to a particular class of nonlinear wave equations that appear in models for waves traveling in a non-homogeneous gas with variable damping. Specifically, decay estimates for the energy of such solutions are
Michael Roberts
doaj
The De Giorgi method for local and nonlocal systems
Journal of the London Mathematical Society, Volume 112, Issue 1, July 2025.Abstract We extend the De Giorgi iteration technique to the vectorial setting. For this we replace the usual scalar truncation operator by a vectorial shortening operator. As an application, we prove local boundedness for local and nonlocal nonlinear systems.
Linus Behn +3 more
wiley +1 more source
On the existence of bounded solutions of nonlinear elliptic systems
International Journal of Mathematics and Mathematical Sciences, 2002 We study the existence of bounded solutions to the elliptic system −Δpu=f(u,v)+h1 in Ω, −Δqv=g(u,v)+h2 in Ω, u=v=0 on ∂Ω, non-necessarily potential systems. The method used is a shooting technique.
Abdelaziz Ahammou
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On the Finite Time Convergence of Cyclic Coordinate Descent Methods [PDF]
, 2010 Cyclic coordinate descent is a classic optimization method that has witnessed a resurgence of interest in machine learning. Reasons for this include its simplicity, speed and stability, as well as its competitive performance on $\ell_1$ regularized ...
Saha, Ankan, Tewari, Ambuj
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