Magnetic bottles for the Neumann problem : curvature effects in the case of dimension 3 (general case)

Bernard Helffer; Abderemane Morame

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Stability of travelling waves in a model for conical flames in two space dimensions

François Hamel, Régis Monneau, Jean-Michel Roquejoffre (2004)

Annales scientifiques de l'École Normale Supérieure

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Characterizations of the sphere in $E^{4}$ by means of the pseudoparallel mean curvature vector field

Karel Svoboda (1980)

Časopis pro pěstování matematiky

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On the existence of parallel normal vector fields of surfaces in $E^{4}$

Alois Švec (1976)

Czechoslovak Mathematical Journal

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Carleman estimates for a subelliptic operator and unique continuation

Nicola Garofalo, Zhongwei Shen (1994)

Annales de l'institut Fourier

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We establish a Carleman type inequality for the subelliptic operator $ℒ = Δ_{z} + | x |^{2} \partial_{t}^{2}$ in $ℝ^{n + 1}$ , $n \geq 2$ , where $z \in ℝ^{n}$ , $t \in ℝ$ . As a consequence, we show that $- ℒ + V$ has the strong unique continuation property at points of the degeneracy manifold ${(0, t) \in ℝ^{n + 1} | t \in ℝ}$ if the potential $V$ is locally in certain $L^{p}$ spaces.

Displaying similar documents to “Magnetic bottles for the Neumann problem : curvature effects in the case of dimension 3 (general case)”

Stability of travelling waves in a model for conical flames in two space dimensions

Characterizations of the sphere in E 4 by means of the pseudoparallel mean curvature vector field

On the existence of parallel normal vector fields of surfaces in E 4

Carleman estimates for a subelliptic operator and unique continuation

Characterizations of the sphere in $E^{4}$ by means of the pseudoparallel mean curvature vector field

On the existence of parallel normal vector fields of surfaces in $E^{4}$