Results 41 to 50 of about 205 (109)
Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 4, December 2026.ABSTRACT We consider optimal control of the heat equation where the control variable appears linearly as a boundary control. We establish switching times optimization for bang–bang controls with multiple switching times. Particularly, representations of variational derivatives of the state and the cost w.r.t. switching times are given.
Georg Vossen
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Inverse problems for semilinear elliptic PDE with a general nonlinearity a(x,u)$a(x,u)$
Transactions of the London Mathematical Society, Volume 13, Issue 1, December 2026.Abstract This article studies the inverse problem of recovering a nonlinearity in an elliptic equation Δu+a(x,u)=0$\Delta u + a(x,u) = 0$ from boundary measurements of solutions. Previous results based on first‐order linearization achieve this under a sign condition on ∂ua(x,u)$\partial _u a(x,u)$, and results based on higher order linearization ...
David Johansson +2 more
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Feedback Linearisation with State Constraints
International Journal of Robust and Nonlinear Control, Volume 36, Issue 17, Page 7579-7595, 25 November 2026.ABSTRACT Feedback Linearisation (FBL) is a widely used technique that applies feedback laws to transform input‐affine nonlinear control systems into linear control systems, allowing for the use of linear controller design methods such as pole placement.
Songlin Jin, Yuanbo Nie, Morgan Jones
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GAMM-Mitteilungen, Volume 49, Issue 4, November 2026.Abstract In mechanics of materials, many powerful methods are accessible only to experts. Constitutive models, for example, describe the relation between stress and strain in materials and are a core ingredient of simulations from structural engineering to biomechanics. Yet building and using such models requires specialized expertise—a barrier for the
Marius Tacke +4 more
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We analyze nonlinear degenerate coupled partial differential equation (PDE)-PDE and PDE-ordinary differential equation (ODE) systems that arise, for example, in the modelling of biofilm growth.
Sonner, S., Mitra, K.
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Quantitative maximal L2$L^2$‐regularity for viscous Hamilton–Jacobi PDEs in 2D and Mean Field Games
Bulletin of the London Mathematical Society, Volume 58, Issue 11, November 2026.Abstract We discuss quantitative Calderón–Zygmund estimates in W2,2$W^{2,2}$ for 2D viscous Hamilton–Jacobi equations with natural growth in the gradient. We apply the result to obtain the existence of classical solutions for stationary second‐order mean field games systems in 2D with (defocusing) coupling behaving like mα$m^\alpha$ for any α>0$\alpha >
Alessandro Goffi
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Foliation of null cones by surfaces of constant spacetime mean curvature near MOTS
Journal of the London Mathematical Society, Volume 114, Issue 5, November 2026.Abstract Marginally outer trapped surfaces (MOTS) in spacetimes are well‐known to indicate the existence of black holes. Using flow techniques, we prove that a neighbourhood of a stable MOTS in a null cone may be foliated by hypersurfaces of constant spacetime mean curvature.
Ben Lambert, Julian Scheuer
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진동하는 데이타를 가진 타원형 비선형 방정식의 균질화 문제
, 2013 학위논문 (박사)-- 서울대학교 대학원 : 수리과학부, 2013. 8. 이기암.이 학위논문에서 우리는 주로 비선형 편미분 방정식의 균질화 문제를 다루고 있다. 첫 번째로는 다공된 영역에서의 균질화 문제를 연구하였다. 우리는 흔히 소프트 인클루전이라고 불리우는 문제의 결과를 좀 더 일반적인 비선형이고 다이버젼스 타입이 아닌 방정식으로 확장하였다. 두 번째로는, Cioranescu와 Murat에 의해서 발견된 Strange Term Behavior에 대한
유민하
core
, 2009 On étudie dans ce travail des systèmes de lois de conservation hyperboliques. La première partie étudie le temps d'existence des solutions régulières et régulières par morceaux de la dynamique des fluides compressibles.
Mercier, Magali
core
Nonlinear SPDEs and Maximal Regularity: An Extended Survey. [PDF]
Nonlinear Differ Equ ApplAgresti A, Veraar M.
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