Closed extensions of a pair of linear operators and dynamic boundary value problems

Applicable Analysis

Volumn 60, Issue 1-2, 1996, Pages 85-98

  van der Merwe, A J ^a  

^a UNIVERSITY OF PRETORIA   (South Africa)

Author keywords

Friedrichs' extension; Hermtian; Stonrgly elliptic

Indexed keywords

EID: 12444250557     PISSN: 00036811     EISSN: 1563504X     Source Type: Journal    
DOI: 10.1080/00036819608840419     Document Type: Article

References (10)

1. Friedman, A., 1969. Partial differential equations, New York: Rinehart and Winston.
2. Friedrichs, K.O., 1934. Spekraltheorie halbbeschrankter Operatoren und Anwendung auf die Spektralzerlegung von Differentialoperatoren. Math. Ann., 109: 465–487.
3. Gilbarg, D., and Trudinger, N. S., 1977. Elliptic partial differential equations of second order, Heidelberg, Berling: Springer-Verlag.
4. Lax, P.D., and Milgram, A. N., 1954. Parabolic equations. Ann, Math. Studies, 33: 167–190.
5. Lions, J.L., and Magenes, E., 1972. Non-homogeneous boundary value problems and applications, Vol. 1, Heidelberg, Berlin: Springer-Verlag.
6. Pazy, A., 1983. “ Semigroups of the linear operators and applications to partial differential equations ”. In Applied Mathematical Series, Vol. 44, New York: Springer-Verlag.
7. Sauer, N., 1982. Linear evolutions equations in two Banach spaces. Proc. Royal Soc, 91A: 287–303.
8. Sauer, N., 1989. The Friedrichs extension of a pair of operators. Quaestiones Mathematicae, 12: 239–249.
9. van der Merwe, A. J., 1993. Perturbations of evolutions equations, Pretoria: Doctoral thesis.
10. van Rensburg, N.F.J., 1982. Dinamiese randvoorwaardes vir parsiële differensiallvergelykings, Pretoria: Doctoral thesis.