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Displaying 581 – 600 of 920

Pseudo-spectrum for a class of semi-classical operators

Karel Pravda-Starov (2008)

Bulletin de la Société Mathématique de France

We study in this paper a notion of pseudo-spectrum in the semi-classical setting called injectivity pseudo-spectrum. The injectivity pseudo-spectrum is a subset of points in the complex plane where there exist some quasi-modes with a precise rate of decay. For that reason, these values can be considered as some ‘almost eigenvalues’ in the semi-classical limit. We are interested here in studying the absence of injectivity pseudo-spectrum, which is characterized by a global a priori estimate. We prove...

Qualitative properties of separating flows in the Prandtl boundary layer.

Khusnutdinova, N.V. (2001)

Sibirskij Matematicheskij Zhurnal

Qualitative properties of solutions to elliptic singular problems.

Berhanu, S., Gladiali, F., Porru, G. (1999)

Journal of Inequalities and Applications [electronic only]

Quantum decay rates in chaotic scattering

Stéphane Nonnenmacher, Maciej Zworski (2005/2006)

Séminaire Équations aux dérivées partielles

Quasilinear elliptic Dirichlet problem in nonregular domains

Apushkinskaya, Darya E., Nazarov, Alexander I. (2002)

Equadiff 10

Quasilinear equations with natural growth.

D. Arcoya, P. J. Martínez-Aparicio (2008)

Revista Matemática Iberoamericana

Quasi-linear parabolic equations with degenerate coercivity having a quadratic gradient term

A. Dall'Aglio, D. Giachetti, C. Leone, S. Segura de León (2006)

Annales de l'I.H.P. Analyse non linéaire

Quasilineare elliptische Differenatiloperatoren mit starkem Wachstum in den Termen höchster Ordnung.

Rüdiger Landes (1977)

Mathematische Zeitschrift

Quasireverse Hölder inequalities and a priori estimates for strongly nonlinear systems

Arina A. Arkhipova (2003)

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni

It is proved that a function can be estimated in the norm with a higher degree of summability if it satisfies some integral relations similar to the reverse Hölder inequalities (quasireverse Hölder inequalities). As an example, we apply this result to derive an a priori estimate of the Hölder norm for a solution of strongly nonlinear elliptic system.

Quelques résultats de régularité pour un système elliptique avec conditions aux limites couplées

Marc Schoenauer (1980)

Annales de la Faculté des sciences de Toulouse : Mathématiques

Quelques résultats sur les solutions de systèmes d'inéquations de type parabolique

Gérard Reynaud (1977)

Annales de l'institut Fourier

On considère un opérateur $L$ défini par $L u = \sum_{i = 1}^{n} D_{i} P_{i, p} (u) - \sum_{k = 1}^{N} D_{t} [α_{p, k} u_{k}]$ où $u$ est une application de $\overline{Ω} \times [0, T]$ dans $R^{N}$ ( $Ω$ ouvert quelconque de $R^{n}$ ), $P_{i, p} (u)$ $(1 \leq i \leq n ...$

Reaction-diffusion system of equations in non-stationary medium and arbitrary non-smooth domains.

Sanni, Sikiru Adigun (2010) Electronic Journal of Differential Equations (EJDE) [electronic only]

Recent progress in attractors for quintic wave equations

Anton Savostianov, Sergey Zelik (2014) Mathematica Bohemica

We report on new results concerning the global well-posedness, dissipativity and attractors for the quintic wave equations in bounded domains of

ℝ^{3}

with damping terms of the form

{(- Δ_{x})}^{θ} \partial_{t} u

, where

θ = 0

θ = 1 / 2

. The main ingredient of the work is the hidden extra regularity of solutions that does not follow from energy estimates. Due to the extra regularity of solutions existence of a smooth attractor then follows from the smoothing property when

θ = 1 / 2

. For

θ = 0

existence of smooth attractors is more complicated and follows...

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