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Displaying 41 – 60 of 201

Estimates for the $\bar{\partial}$ -Neumann operator on strongly pseudo-convex domain with Lipschitz boundary.

Abdelkader, O., Saber, S. (2004)

JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]

Estimates on kernels for the ...-equation and the ...-Neumann problem.

Richard Beals, N.K. Stanton (1991)

Mathematische Annalen

Estimations höldériennes pour les equations de Cauchy-Riemann dans les convexes compacts de Cn.

Jacques Chaumat, Anne-Marie Chollet (1991)

Mathematische Zeitschrift

Estimations limites pour la solution canonique de l'équation ...u = f.

Anne Cumenge (1990)

Mathematische Annalen

Estimations par composantes pour le probleme ?-Neumann pour quelques classes de domaines pseudoconvexes de Cn.

M. Derridj (1991)

Mathematische Zeitschrift

Estimations pour $\bar{\partial}$ dans des domaines non pseudo-convexes

Maklouf Derridj (1978)

Annales de l'institut Fourier

Nous étudions les domaines $Ω$ de $C^{n}$ qui satisfont (localement) à l’estimation suivante : $\sum_{i, k = 1}^{n} ∥ \frac{\partial u_{j}}{\partial {\overline{z}}_{k}} ∥ \leq C (∥ \overline{\partial} u ∥ + ∥ {\overline{\partial}}^{*} u ∥ + ∥ u ∥), \forall u \in 𝒟^{0, 1} (V \cap \overline{Ω})$ où $V$ est un voisinage d’un point $z_{0}$ du bord $\partial Ω$ .L’intérêt de cette estimation réside dans son utilisation pour montrer une estimation sous-elliptique. Remarquons qu’elle est toujours satisfaite par les domaines pseudo-convexes, ce qui rend naturel le fait qu’elle soit liée au comportement dans $V$ des parties négatives des valeurs propres de la forme de Levi.

Evoluzione per sistemi differenziali sovradeterminati

Chiara Boiti (1998)

Bollettino dell'Unione Matematica Italiana

Exact subelliptic estimates for n - 1 forms.

Lop-Hing Ho (1992)

Mathematische Zeitschrift

Existence and construction of Vessiot connections.

Fesser, Dirk, Seiler, Werner M. (2009)

SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]

Existence of conservation laws in nilpotent case.

Mehdi, M. (1999)

Acta Mathematica Universitatis Comenianae. New Series

Exotic parametrization problems

Leon Ehrenpreis (1993)

Annales de l'institut Fourier

Extension de formes ${\bar{\partial}}_{b}$ fermées et solutions de l’équation ${\bar{\partial}}_{b} u = f$

Eric Amar (1980)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

Extension of CR functions to «wedge type» domains

Andrea D'Agnolo, Piero D'Ancona, Giuseppe Zampieri (1991)

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

Let $X$ be a complex manifold, $S$ a generic submanifold of $X^{R}$ , the real underlying manifold to $X$ . Let $Ω$ be an open subset of $S$ with $\partial Ω$ analytic, $Y$ a complexification of $S$ . We first recall the notion of $Ω$ -tuboid of $X$ and of $Y$ and then give a relation between; we then give the corresponding result in terms of microfunctions at the boundary. We relate the regularity at the boundary for ${\bar{\partial}}_{b}$ to the extendability of $C R$ functions on $Ω$ to $Ω$ -tuboids of $X$ . Next, if $X$ has complex dimension 2, we give results on extension...

Foliations and the generalized complex Monge-Ampère equations

Jerzy Kalina, Julian Ławrynowicz (1983)

Banach Center Publications

Formulars for the L...-minimal solutions of the ...-equation in the unit ball of C...

Mats Andersson (1985)

Mathematica Scandinavica

Formulas for approximate solutions of the ∂∂`-equation in a strictly pseudoconvex domain.

Mats Andersson, Hasse Carlsson (1995)

Revista Matemática Iberoamericana

Let D be a bounded strictly pseudoconvex domain in Cn. We construct approximative solution formulas for the equation i∂∂`u = θ, θ being an exact (1,1)-form in D. We show that our formulas give simple proofs of known estimates and indicate further applications.

Global analytic hypoellipticity of the ?-Neumann problem on circular domains.

So-Chin Chen (1988)

Inventiones mathematicae

Global boundary regularity for the $\bar{p a r t i a l}$ -equation on $q$ -pseudo-convex domains

Heungju Ahn (2005)

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

For a bounded domain $D$ of $C^{n}$ , we introduce a notion of « $q$ -pseudoconvexity» of new type and prove that for a given $\bar{\partial}$ -closed $(p, r)$ -form $f$ that is smooth up to the boundary on $D$ , and for $r \geq q$ , there exists a $(p, r - 1)$ -form $u$ smooth up to the boundary on $D$ which is a solution of the equation $\bar{\partial} u = f$

Global existence of solutions for the 1-D radiative and reactive viscous gas dynamics

Wen Zhang, Jianwen Zhang (2012)

Applications of Mathematics

In this paper, we prove the existence of a global solution to an initial-boundary value problem for 1-D flows of the viscous heat-conducting radiative and reactive gases. The key point here is that the growth exponent of heat conductivity is allowed to be any nonnegative constant; in particular, constant heat conductivity is allowed.

Global Real Analyticity of Solutions to the ...-Neumann Problem.

So-Chin Chen (1988)

Mathematische Zeitschrift

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