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CAUCHY PROBLEMS ASSOCIATED WITH THE LÉVY LAPLACIAN IN WHITE NOISE ANALYSIS

Department of Mathematics, Sogang University, Seoul 121-742, Korea

Natural Science Institute, Yonsei University, Seoul 121-742, Korea

A postdoctoral fellow supported by Korear Research Foundation and Research University Fund of College of Science at Yonsei University supported by MOE of Korea, 1996.

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KIMIAKI SAITÔ

Department of Mathematics, Meijo University, Nagoya 468-8502, Japan

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https://doi.org/10.1142/S0219025799000072Cited by:17 (Source: Crossref)

Abstract

In this paper we shall discuss the existence and the uniqueness of solutions of the heat type equation and the wave type equation associated with the Lévy Laplacian acting on a domain in the space of generalized white noise functionals.

Research supported by the Korea–Japan Cooperative Research Program, 1996 and the Joint Project Research "Quantum Information Theoretical Approach to Life Science" for the Academic Frontier in Science promoted by the Ministry of Education in Japan, 1997.