Stable spike clusters on a compact two-dimensional Riemannian manifold

Ao, Weiwei; Wei, Juncheng; Winter, Matthias

doi:10.1016/j.jde.2019.10.005

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Homogenization and Steklov Eigenproblems2

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2021

2023

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Cited by 3 publications

(2 citation statements)

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“…In P. Monk [41], the above spaces are defined for p = 2 and respectively denoted by H(div; Ω) and H(curl; Ω). The space H o (curl; Ω) is the closure of the L. Scwartz's space (D(Ω)) 3 in H(curl(Ω)).…”

Section: Homogenization and Steklov Eigenproblemsmentioning

confidence: 99%

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A survey of topics related to Functional Analysis and Applied Sciences

Huet

2021

JAM

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This survey is the result of investigations suggested by recent publications on functional analysis and applied sciences. It contains short accounts of the above theories not usually combined in a single document and completes the work of D. Huet 2017. The main topics which are dealt with involve spectrum and pseudospectra of partial differential equations, Steklov eigenproblems, harmonic Bergman spaces, rotation number and homeomorphisms of the circle, spectral flow, homogenization. Applications to different types of natural sciences such as echosystems, biology, elasticity, electromagnetisme, quantum mechanics, are also presented. It aims to be a useful tool for advanced students in mathematics and applied sciences.

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Section: Homogenization and Steklov Eigenproblemsmentioning

confidence: 99%

“…Definition 23. The space of surface tangential vector fields in L 2 (∂Ω) is defined by 193) equipped with the norm of L 2 (∂Ω) 3 , where ν is the unit outward normal to Ω.…”

Section: Homogenization and Steklov Eigenproblemsmentioning

confidence: 99%