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2 Calcul de Weyl et déformations

E. Combet, G. Patissier (1983)

Publications du Département de mathématiques (Lyon)

A blow up condition for a nonautonomous semilinear system.

Perez-Perez, Aroldo (2006)

Electronic Journal of Differential Equations (EJDE) [electronic only]

A calculus for a class of finitely degenerate pseudodifferential operators

Ingo Witt (2003)

Banach Center Publications

For a class of degenerate pseudodifferential operators, local parametrices are constructed. This is done in the framework of a pseudodifferential calculus upon adding conditions of trace and potential type, respectively, along the boundary on which the operators degenerate.

A Calderón-Zygmund estimate with applications to generalized Radon transforms and Fourier integral operators

Malabika Pramanik, Keith M. Rogers, Andreas Seeger (2011)

Studia Mathematica

We prove a Calderón-Zygmund type estimate which can be applied to sharpen known regularity results on spherical means, Fourier integral operators, generalized Radon transforms and singular oscillatory integrals.

A Canonical Form of a System of Microdifferential Equations with Non-Involutory Characteristics and Branching of Singularities.

Toshinori Ôaku (1981/1982)

Inventiones mathematicae

A characterization of some non-elliptic pseudo-differential operators as Fredholm operators.

Qihong Fan, M.W. Wong (1997)

Forum mathematicum

A class of Feller semigroups generated by pseudo differential operators.

Niels Jacob (1994)

Mathematische Zeitschrift

A class of generalized integral operators.

Bekkara, Samir, Messirdi, Bekkai, Senoussaoui, Abderrahmane (2009)

Electronic Journal of Differential Equations (EJDE) [electronic only]

A Class of Hypoelliptic Pseudodifferential Operators with Double Characteristics.

Lars Hörmander (1975)

Mathematische Annalen

A class of pseudo differential operators on the product of two manifolds and applications

Luigi Rodino (1975)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

A class of pseudo differential operators with multiple non-involutive characteristics

Maria Mascarello Rodino, Luigi Rodino (1981)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

A construction of a parametrix for an elliptic boundary value problem.

Artino, Ralph A., Barros-Neto, José (1994)

Portugaliae Mathematica

A construction of parametrices of elliptic boundary value problems

Bergamasco, Adalberto P., Petronilho, Gerson (1993)

Portugaliae mathematica

A decay estimate for a class of hyperbolic pseudo-differential equations

Sandra Lucente, Guido Ziliotti (1999)

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

We consider the equation $u_{t} - i Λ u = 0$ , where $Λ = λ (D_{x})$ is a first order pseudo-differential operator with real symbol $λ (ξ)$ . Under a suitable convexity assumption on $λ$ we find the decay properties for $u (t, x)$ . These can be applied to the linear Maxwell system in anisotropic media and to the nonlinear Cauchy Problem $u_{t} - i Λ u = f (u)$ , $u (0, x) = g (x)$ . If $f (u)$ is a smooth function which satisfies $f (u) ≃ {|u|}^{p}$ near $u = 0$ , and $g$ is small in suitably Sobolev norm, we prove global existence theorems provided $p$ is greater than a critical exponent.

A discrete phenomenon in propagation of $C^{\infty}$ singularities

Paul Godin (1987)

Banach Center Publications

A Fractional Analog of the Duhamel Principle

Umarov, Sabir, Saydamatov, Erkin (2006)

Fractional Calculus and Applied Analysis

Mathematics Subject Classification: 35CXX, 26A33, 35S10The well known Duhamel principle allows to reduce the Cauchy problem for linear inhomogeneous partial differential equations to the Cauchy problem for corresponding homogeneous equations. In the paper one of the possible generalizations of the classical Duhamel principle to the time-fractional pseudo-differential equations is established.* This work partially supported by NIH grant P20 GMO67594.

Currently displaying 1 – 20 of 624