Problems in Unbounded Cylindrical Domains
نویسندگان
چکیده
We combine the classical point of view of special functions with functional calculus for sectorial operators to obtain semi-explicit representation formulæ for the solutions.The formulæ are well suited for the further study of their properties as well as for the precise characterization of asymptotic behaviour in the large or for vanishing parameters (such as in perturbation theory). The approach is developed in [7] and extended in [6]. Here we briefly review its main ingredients and then consider a series of examples to illustrate the wide range of applicability of the ideas.
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