Initial value/boundary value problems for fractional diffusion-wave equations and applications to some inverse problems

We consider initial value/boundary value problems for fractional diffusion-wave equation: ∂ t α u ( x , t ) = L u ( x , t ) , where 0 < α ⩽ 2 , where L is a symmetric uniformly elliptic operator with t-independent smooth coefficients. First we establish the unique existence of the weak solution a...

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Bibliographic Details
Published in:	Journal of mathematical analysis and applications Vol. 382; no. 1; pp. 426 - 447
Main Authors:	Sakamoto, Kenichi, Yamamoto, Masahiro
Format:	Journal Article
Language:	English
Published:	Amsterdam Elsevier Inc 01.10.2011 Elsevier
Subjects:	Exact sciences and technology Fractional diffusion equation Initial value/boundary value problem Inverse problem Mathematical analysis Mathematics Numerical analysis Numerical analysis in abstract spaces Numerical analysis. Scientific computation Partial differential equations Partial differential equations, boundary value problems Partial differential equations, initial value problems and time-dependant initial-boundary value problems Sciences and techniques of general use Well-posedness Fractional diffusion equation Initial value/boundary value problem Well-posedness Inverse problem Wave equation Solution uniqueness Existence of solution Eigenfunction Initial value problem Asymptotic behavior Well posed problem Boundary value problem Mathematical analysis Diffusion equation Elliptic operator Numerical stability
ISSN:	0022-247X, 1096-0813
Online Access:	Get full text
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