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  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
Carleman Estimates for Second Order Partial Differential Operators and Applications: A Unified Approach

Carleman Estimates for Second Order Partial Differential Operators and Applications: A Unified Approach

Zhang, Xu
Fu, Xiaoyu
Lü, Qi

Paperback

Series: Springerbriefs in Mathematics

General MathematicsGeneral Science

ISBN10: 303029529X
ISBN13: 9783030295295
Publisher: Springer Nature
Published: Nov 13 2019
Pages: 127
Weight: 0.45
Height: 0.30 Width: 6.14 Depth: 9.21
Language: English

This book provides a brief, self-contained introduction to Carleman estimates for three typical second order partial differential equations, namely elliptic, parabolic, and hyperbolic equations, and their typical applications in control, unique continuation, and inverse problems. There are three particularly important and novel features of the book. First, only some basic calculus is needed in order to obtain the main results presented, though some elementary knowledge of functional analysis and partial differential equations will be helpful in understanding them. Second, all Carleman estimates in the book are derived from a fundamental identity for a second order partial differential operator; the only difference is the choice of weight functions. Third, only rather weak smoothness and/or integrability conditions are needed for the coefficients appearing in the equations. Carleman Estimates for Second Order Partial Differential Operators and Applications will be of interestto all researchers in the field.

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