On a class of nonlinear reaction-diffusion systems with nonlocal boundary conditions.
Bouziani, Abdelfatah (2004)
Abstract and Applied Analysis
Mesloub, Said, Bouziani, Abdelfatah (1999)
International Journal of Mathematics and Mathematical Sciences
Ivan Hlaváček (1973)
Aplikace matematiky
Gianni Gilardi, Andrea Marson (2005)
Applications of Mathematics
We deal with a class of Penrose-Fife type phase field models for phase transitions, where the phase dynamics is ruled by a Cahn-Hilliard type equation. Suitable assumptions on the behaviour of the heat flux as the absolute temperature tends to zero and to are considered. An existence result is obtained by a double approximation procedure and compactness methods. Moreover, uniqueness and regularity results are proved as well.
Jokhadze, O. (1995)
Georgian Mathematical Journal
Catherine Bandle (1976)
Mathematische Zeitschrift
Giovanni Gregori (1993)
Mathematische Zeitschrift
Feng, Xueshang (1995)
Bulletin of the Belgian Mathematical Society - Simon Stevin
Yoshihiro Shibata, Yoshio Tsutsumi (1986)
Mathematische Zeitschrift
Nguyen Vu Dzung, Le Thi Phuong Ngoc, Nguyen Huu Nhan, Nguyen Thanh Long (2024)
Mathematica Bohemica
We consider problem (P) of Kirchhoff-Carrier type with nonlinear terms containing a finite number of unknown values with By applying the linearization method together with the Faedo-Galerkin method and the weak compact method, we first prove the existence and uniqueness of a local weak solution of problem (P). Next, we consider a specific case of (P) in which the nonlinear term contains the sum . Under suitable conditions, we prove that the solution of converges to the solution of the corresponding...
Juncheng Wei, Liqun Zhang (2001)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
Patrick Oswald (1985)
Commentationes Mathematicae Universitatis Carolinae
Ben Othman, Sonia (2006)
Abstract and Applied Analysis
Bezzarga, Mounir, Kefi, Khaled (2005)
Fractional Calculus and Applied Analysis
2000 Mathematics Subject Classification: Primary 26A33; Secondary 47G20, 31B05We study a singular value problem and the boundary Harnack principle for the fractional Laplacian on the exterior of the unit ball.
Jozef Kacur (1990)
Mathematische Zeitschrift
Jozef Kacur (1990)
Mathematische Zeitschrift
Bouziani, Abdelfatah (2000)
Journal of Applied Mathematics and Stochastic Analysis
J. Tervo (1989)
Annales Polonici Mathematici
Carlo Domenico Pagani (1975)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
Gajewski, Herbert (1979)
International Journal of Mathematics and Mathematical Sciences