Babes-Bolyai University of Cluj-Napoca
Faculty of Mathematics and Computer Science
Study Cycle: Graduate
SUBJECT

Code	Subject	
ME003	Partial Differential Equations (1)	

Section	Semester	Hours: C+S+L	Category	Type	
Mathematics-Computer Science	7	2+2+0		compulsory	
Applied Mathematics	7	2+2+0		compulsory	

Teaching Staff in Charge	Prof. PRECUP Radu, Ph.D., r.precup@math.ubbcluj.ro
Prof. TRIF Damian, Ph.D., dtrif@math.ubbcluj.ro
Assoc.Prof. BEGE Antal, Ph.D., bege@math.ubbcluj.ro	
Aims	Assimilation of the basic elements of classical and modern theory of 
linear partial differential equations.	
Content	1. Classical theory for partial differential equations of second order: fundamental solutions of Laplace equations, maximum principles, uniqueness theorems, Green functions.
2. Separable variables method. Fourier method.
3. Generalized solutions for Dirichlet and Neumann problems associated to  Poisson and Laplace equations.
4. Fourier transform method in the theory of partial differential equations.	
Bibliography	1. BARBU, V., Probleme la limita pentru ecuatii cu derivate partiale, Ed. Acad. Române, Bucuresti, 1993.
2. BRÉZIS, H., Analyse fonctionelle. Théorie et applications, Masson, Paris, 1983.
3. GILBARG, D., TRUDINGER, N.S., Elliptic partial differential equations of second order, Springer, Berlin, 1983.
4. PRECUP, R., Lectii de ecuatii cu derivate partiale, Presa Universitara Clujeana, 2004.
5. SIMON, L., BADERKO, E.A., Másodrendu parciális differenciálegyenletek, Tankönyvkiadó, Budapest, 1983.
6. SZILÁGYI P., Másodrendu parciális differenciálegyenletek, BBTE, Kolozsvár, 1998.
7. VLADIMIROV, V.S., Ecuatiile fizicii matematice, Ed. St. Enc., Bucuresti, 1981 (Bevezetés a parciális differenciálegyenletek elméletébe, Muszaki Kiadó, Budapest, 1980).
8. TRIF, D., Ecuatii cu derivate partiale, UBB, Cluj, 1993.
	
Assessment	Written and oral examination