Sentence examples for continuation argument from inspiring English sources
A continuation argument with a moving kernel formula is used to find the instability criteria.
We derive the Moser Trudinger Onofri inequalities on the 2-sphere and the 4-sphere as the limiting cases of the fractional power Sobolev inequalities on the same spaces, and justify our approach as the dimensional continuation argument initiated by Thomas P. Branson.
So, from [13, Theorem ] and a unique continuation argument we obtain that in.
The key idea is that in mapping the source calculus to the semantic target calculus, all types are parameterized with an extra continuation argument.
Based on this uniform estimate the global existence is proved by the standard continuation argument together with the local in time existence theory; for example, see [5].
Our analysis is based on an elementary energy method together with the continuation argument and the key point is how to control the possible growth of the solution caused by the nonlinearity of the equation under consideration.
Hence, it follows from standard unique continuation arguments (cf. [5]) that the gradient of (Psi ) vanishes identically.
In some respects, this volume is a continuation of arguments set out in "America Alone," the authors' estimable 2004 book, which examined the role neoconservatives played in shaping the administration's post-9/11 policy and its decision to invade Iraq.
The judge made no decision yesterday in the case, involving a fatal shooting in the Brownsville section of Brooklyn in 1988, and scheduled a continuation of arguments for June 14.
The military judge, Col. Peter E. Brownback III, declined Friday to set a date for the trial, which had been scheduled to begin May 5. Instead, Judge Brownback has set May 8 for a continuation of arguments on numerous issues that must be addressed before a trial can begin.
Much of the contention surrounding Barack Obama's presidency is simply a continuation of our argument over the effects of George W. Bush's time in office.
