科研之友
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摘要
An unbounded operator is said to be bisectorial if its spectrum is contained in two sectors lying, respectively, in the left and right half-planes and the resolvent decreases at infinity as 1/lambda. It is known that, for any bounded function f, the equation u' - Au = f with bisectorial operator A has a unique bounded solution u, which is the convolution of f with the Green function. An example of a bisectorial operator generating a Green function unbounded at zero is given.
- 出版日期2015-1
