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Displaying 21 – 37 of 37

The geometry of the space of Cauchy data of nonlinear PDEs

Giovanni Moreno (2013)

Open Mathematics

First-order jet bundles can be put at the foundations of the modern geometric approach to nonlinear PDEs, since higher-order jet bundles can be seen as constrained iterated jet bundles. The definition of first-order jet bundles can be given in many equivalent ways - for instance, by means of Grassmann bundles. In this paper we generalize it by means of flag bundles, and develop the corresponding theory for higher-oder and infinite-order jet bundles. We show that this is a natural geometric framework...

The homogeneous balance of undetermined coefficients method and its application

Yi Wei, Xin-Dang He, Xiao-Feng Yang (2016)

Open Mathematics

The homogeneous balance of undetermined coefficients method is firstly proposed to solve such nonlinear partial differential equations (PDEs), the balance numbers of which are not positive integers. The proposed method can also be used to derive more general bilinear equation of nonlinear PDEs. The Eckhaus equation, the KdV equation and the generalized Boussinesq equation are chosen to illustrate the validity of our method. The proposed method is also a standard and computable method, which can...

The homogeneous Dirichlet problem for non-elliptic partial differential equations with strong nonlinearities

Gerald G. Warnecke (1989)

Commentationes Mathematicae Universitatis Carolinae

The Laplace method of the linear partial differential equations of the $n$ -th order

Jaroslav Hančl (1989)

Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica

The Lie-algebraic discrete approximation scheme for evolution equations with Dirichlet/Neumann data.

Luśtyk, Mirosław (2002)

Zeszyty Naukowe Uniwersytetu Jagiellońskiego. Universitatis Iagellonicae Acta Mathematica

The Riemann method for equations with leading partial derivative in $ℝ^{n}$ .

Mironov, A.N. (2006)

Sibirskij Matematicheskij Zhurnal

The Semilinear Second-Order Hyperbolic Equation with Data Strongly Singular at One Point.

Ya-Guang Wang (1994)

Monatshefte für Mathematik

The solution of an axially symmetric boundary value problem of the generalized heat equation and its application in the technology of microschemes

М.Г. Опаец, В.П. Деркач, В.Г. Сучеван (1982)

Matematiceskie issledovanija

The solution of embedding problems in the framework of GAPs with applications on nonlinear PDEs.

Starkl, Reinhard (2009)

Advances in Mathematical Physics

The solution operator for a partial differential equation with delay

Gabriella Di Blasio, Karl Kunisch, Eugenio Sinestrari (1983)

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

Viene dimostrata l’esistenza e l’unicità globale della soluzione di un’equazione funzionale in uno spazio di Hilbert e si caratterizza il generatore infinitesimale del semigruppo ad essa associato. Il risultato è applicato ad equazioni integrodifferenziali a derivate parziali di tipo parabolico in cui compaiono argomenti con ritardo (discreto e continuo) nelle derivate spaziali di ordine massimo.

Théorème de Cauchy-Kovalevsky et théorème d'unicité d'Holmgren pour des fonctions analytiques d'une infinité de variables

Bernard Lascar (1975/1976)

Séminaire Paul Krée

Triangulation formelle de certains systèmes de Pfaff complètement intégrables et application à l’étude $C^{\infty}$ des systèmes non linéaires

Hélène Charrière (1980)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

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