Dissipative Extensions of Fourth Order Di¤erential Operators in the Lim- 3 case
| Subject | Applied Mathematics |
| Title | Dissipative Extensions of Fourth Order Di¤erential Operators in the Lim- 3 case |
| Author(s) | Hüseyin TUNA |
| Keywords | Dissipative extensions, self adjoint extensions, a boundary value space, boundary condition. |
| Abstract | Extensions of symmetric operators arise in many areas of mathematical physics, like solvable models of quantum mechanics and quantization problems. Let us consider the scalar fourth order di¤erential operators generated by di¤erential expression l (y) = y(4) + q (x) y; 0 x < +1 where q (x) is a real continuous function in [0;1): In this paper, a space of boundary value is constructed for scalar fourth order di¤erential operators in the Lim |