| || || || || || || |
Memoirs of the American Mathematical Society
2003; 114 pp; softcover
List Price: US$58
Individual Members: US$34.80
Institutional Members: US$46.40
Order Code: MEMO/166/788
The property of maximal \(L_p\)-regularity for parabolic evolution equations is investigated via the concept of \(\mathcal R\)-sectorial operators and operator-valued Fourier multipliers. As application, we consider the \(L_q\)-realization of an elliptic boundary value problem of order \(2m\) with operator-valued coefficients subject to general boundary conditions. We show that there is maximal \(L_p\)-\(L_q\)-regularity for the solution of the associated Cauchy problem provided the top order coefficients are bounded and uniformly continuous.
Graduate students and research mathematicians interested in differential equations.
Table of Contents
AMS Home |
© Copyright 2013, American Mathematical Society