Search

Your search keyword '"Sobajima, Motohiro"' showing total 2 results
Start Over Author "Sobajima, Motohiro" Journal communications in contemporary mathematics
2 results on '"Sobajima, Motohiro"'

1. Weighted energy estimates for wave equation with space-dependent damping term for slowly decaying initial data.

Author

Sobajima, Motohiro and Wakasugi, Yuta

Subjects
*WAVE equation, *WAVE energy, *ESTIMATES, *HYPERGEOMETRIC functions, *DATA, *TERMS & phrases
Abstract

This paper is concerned with weighted energy estimates for solutions to wave equation ∂ t 2 u − Δ u + a (x) ∂ t u = 0 with space-dependent damping term a (x) = | x | − α (α ∈ [ 0 , 1 ]) in an exterior domain Ω having a smooth boundary. The main result asserts that the weighted energy estimates with weight function like polynomials are given and these decay rates are almost sharp, even when the initial data do not have compact support in Ω. The crucial idea is to use special solution of ∂ t u = | x | α Δ u including Kummer's confluent hypergeometric functions. [ABSTRACT FROM AUTHOR]

Published
2019
Full Text
View/download PDF

2. - estimates for homogeneous operators.

Author

Ioku, Norisuke, Metafune, Giorgio, Sobajima, Motohiro, and Spina, Chiara

Subjects
*ELLIPTIC operators, *ESTIMATION theory, *SEMIGROUPS (Algebra), *MATHEMATICAL bounds, *COEFFICIENTS (Statistics)
Abstract

We prove precise - estimates for the semigroup generated by in . [ABSTRACT FROM AUTHOR]

Published
2016
Full Text
View/download PDF

Catalog

Books, media, physical & digital resources
See catalog results