This property has implications in establishing unique continuation and controllability properties, as in the case of thermoelastic equations [M.
By establishing the continuation theorem, which is an extension of the coincidence degree theory for linear differential operators with PBCs, the existence result of solution of the PBVP was stated under the nonlinear growth restriction of f.
The tobacco suit was filed to meet deadlines established for continuation of the lawsuit.
2.2 we established meromorphic continuation using analytic Fredholm theory.
First we establish a continuation theorem for a semilinear operator equation in a Hilbert space, where a key tool is the Berkovits-Tienari degree theory for a class of perturbations of monotone type of a densely defined closed linear operator.
Using the Berkovits-Tienari degree theory for operators of the type (L+N), we first establish a continuation theorem for the semilinear equation (1.2), connecting to a reference map having nonzero degree.
Once some level of security has been re-established, a continuation of it needs to be carried out in parallel with other projects, such as economic rejuvenation, which is very much needed across the north, particularly the northeast, where the highest percentage of people in severe poverty are.
Moreover, the uniqueness of the inverse problem is established by analytic continuation and Laplace transform.
In [1], the authors establish the unique continuation for the parabolic equations with time independent coefficients in terms of the eigenfunctions of the corresponding elliptic operator, and their results did not apply to parabolic equations with time dependent coefficients.
However, until these novel therapies establish their role, continuation of trastuzumab beyond progression should remain an option in the management of patients with HER2-positive advanced breast cancer.
