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Displaying 41 – 60 of 103

Soluzioni di viscosità e stabilità per equazioni completamente nonlineari

Manuela Molinari (2001)

Bollettino dell'Unione Matematica Italiana

Solvability of degenerated parabolic equations without sign condition and three unbounded nonlinearities.

Akdim, Youssef, Bennouna, Jaouad, Mekkour, Mounir (2011)

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

Solvability problem for strong-nonlinear nondiagonal parabolic system

Arkhipova, Arina A. (2002)

Proceedings of Equadiff 10

Solving the Cahn-Hilliard variational inequality with a semi-smooth Newton method

Luise Blank, Martin Butz, Harald Garcke (2011)

ESAIM: Control, Optimisation and Calculus of Variations

The Cahn-Hilliard variational inequality is a non-standard parabolic variational inequality of fourth order for which straightforward numerical approaches cannot be applied. We propose a primal-dual active set method which can be interpreted as a semi-smooth Newton method as solution technique for the discretized Cahn-Hilliard variational inequality. A (semi-)implicit Euler discretization is used in time and a piecewise linear finite element discretization of splitting type is used in space leading...

Solving the Cahn-Hilliard variational inequality with a semi-smooth Newton method

Luise Blank, Martin Butz, Harald Garcke (2011)

ESAIM: Control, Optimisation and Calculus of Variations

Solving the systems of equations arising in the discretization of some nonlinear p.d.e.'s by implicit Runge-Kutta methods

Georgios Akrivis, Vassilios A. Dougalis, Ohannes Karakashian (1997)

ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique

Some applications of parabolic differential equations of Allen-Cahn type in image processing

Chalupecký, Vladimír, Beneš, Michal (2002)

Equadiff 10

Some common asymptotic properties of semilinear parabolic, hyperbolic and elliptic equations

Poláčik, Peter (2002)

Proceedings of Equadiff 10

Some common asymptotic properties of semilinear parabolic, hyperbolic and elliptic equations

Peter Poláčik (2002)

Mathematica Bohemica

We consider three types of semilinear second order PDEs on a cylindrical domain $Ω \times (0, \infty)$ , where $Ω$ is a bounded domain in $ℝ^{N}$ , $N \geq 2$ . Among these, two are evolution problems of parabolic and hyperbolic types, in which the unbounded direction of $Ω \times (0, \infty)$ is reserved for time $t$ , the third type is an elliptic equation with a singled out unbounded variable $t$ . We discuss the asymptotic behavior, as $t \to \infty$ , of solutions which are defined and bounded on $Ω \times (0, \infty)$ .

Some compactness methods in the theory of nonlinear evolution equations with applications to P.D.E.

Ioan I. Vrabie (1987)

Banach Center Publications

Some (new) counterexamples of parabolic systems

Jana Stará, Oldřich John (1995)

Commentationes Mathematicae Universitatis Carolinae

We give examples of parabolic systems (in space dimension $n \geq 3$ ) having a solution with real analytic initial and boundary values which develops the discontinuity in the interior of the parabolic cylinder.

Some new results on a Stefan problem in a concentrated capacity

Enrico Magenes (1992)

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

An existence and uniqueness theorem for a nonlinear parabolic system of partial differential equations, connected with the theory of heat conduction with a transition phase in a concentrated capacity, is given in sufficiently general hypotheses on the data.

Some nonexistence results for higher-order evolution inequalities in cone-like domains.

Laptev, Gennady G. (2001)

Electronic Research Announcements of the American Mathematical Society [electronic only]

Some problems for nonlinear pseudoparabolic equations in nontube domains.

Glazatov, S.N. (2007)

Sibirskij Matematicheskij Zhurnal

Some properties of solutions for the generalized thin film equation in one space dimension.

Liu, Changchun (2005)

Boletín de la Asociación Matemática Venezolana

Some regularity results for quasi-linear parabolic systems

Michael Struwe (1985)

Commentationes Mathematicae Universitatis Carolinae

Some regularity results for quasilinear parabolic systems

Stará, Jana, John, Oldřich (1986)

Equadiff 6

Some remarks on the Galerkin approximation of parabolic equations

H. Marcinkowska, A. Szustalewicz (1988)

Applicationes Mathematicae

Some simple nonlinear PDE's without solutions

Haïm Brezis, Xavier Cabré (1998)

Bollettino dell'Unione Matematica Italiana

In questo articolo consideriamo alcune semplici equazioni a derivate parziali elittiche nonlineari, per le quali il Teorema della Funzione Inversa, se applicato in modo formale, suggerisce l'esistenza di soluzioni. Nonostante ciò, proviamo che non esistono soluzioni neppure in vari sensi deboli. Un problema modello è dato da $- Δ u = (u^{2} / {|x|}^{2}) + c$ in $Ω$ , $u = 0$ su $\partial Ω$ , dove $Ω \subset R^{N}$ , $N \geq 2$ , è un dominio limitato contenente $0$ . Per qualunque costante $c > 0$ , arbitrariamente piccola, proviamo che questo problema non ammette soluzioni distribuzionali...

Some theorems on partial differential inequalities of parabolic type

P. Besala (1972)

Annales Polonici Mathematici

Currently displaying 41 – 60 of 103

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