A note on the well-posedness of the nonlocal boundary value problem for elliptic-parabolic equations
The abstract nonlocal boundary value problem \begin{equation*}\left\{\begin{array}{l} -\frac{d^{2}u(t)}{dt^{2}}+sign(t)Au(t)=g(t),(0\leq t\leq 1), \\ \frac{du(t)}{dt}+sign(t)Au(t)=f(t),(-1\leq t\leq 0), \\ u(1)=u(-1)+\mu \end{array}\right.\end{equation*} for the differential equation in a Hilbert sp...
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
University of Szeged
2011-07-01
|
| Series: | Electronic Journal of Qualitative Theory of Differential Equations |
| Subjects: | |
| Online Access: | http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=798 |