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Author: Alberto P. Calderón
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 394
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Book Description
Author: Alberto P. Calderón
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 394
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Book Description
Author: Bert-Wolfgang Schulze
Publisher: John Wiley & Sons
ISBN:
Category : Mathematics
Languages : en
Pages : 664
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Book Description
With this volume, Wolfgang Schulze presents a study of pseudo-differential operators on singular spaces, and also of developments of the concept of ellipticity in operator algebra.
Author: Vladimir B. Vasil'ev
Publisher: Springer Science & Business Media
ISBN: 9780792365310
Category : Mathematics
Languages : en
Pages : 192
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Book Description
This monograph is devoted to the development of a new approach to studying elliptic differential and integro-differential (pseudodifferential) equations and their boundary problems in non-smooth domains. This approach is based on a special representation of symbols of elliptic operators called wave factorization. In canonical domains, for example, the angle on a plane or a wedge in space, this yields a general solution, and then leads to the statement of a boundary problem. Wave factorization has also been used to obtain explicit formulas for solving some problems in diffraction and elasticity theory. Audience: This volume will be of interest to mathematicians, engineers, and physicists whose work involves partial differential equations, integral equations, operator theory, elasticity and viscoelasticity, and electromagnetic theory. It can also be recommended as a text for graduate and postgraduate students for courses in singular integral and pseudodifferential equations.
Author: Luigi Rodino
Publisher: American Mathematical Soc.
ISBN: 9780821871553
Category : Mathematics
Languages : en
Pages : 432
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Book Description
This volume is based on lectures given at the workshop on pseudo-differential operators held at the Fields Institute from December 11, 2006 to December 15, 2006. The two main themes of the workshop and hence this volume are partial differential equations and time-frequency analysis. The contents of this volume consist of five mini-courses for graduate students and post-docs, and fifteen papers on related topics. Of particular interest in this volume are the mathematical underpinnings, applications and ramifications of the relatively new Stockwell transform, which is a hybrid of the Gabor transform and the wavelet transform. The twenty papers in this volume reflect modern trends in the development of pseudo-differential operators.
Author: Sabir Umarov
Publisher: Springer
ISBN: 3319207717
Category : Mathematics
Languages : en
Pages : 446
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Book Description
The book systematically presents the theories of pseudo-differential operators with symbols singular in dual variables, fractional order derivatives, distributed and variable order fractional derivatives, random walk approximants, and applications of these theories to various initial and multi-point boundary value problems for pseudo-differential equations. Fractional Fokker-Planck-Kolmogorov equations associated with a large class of stochastic processes are presented. A complex version of the theory of pseudo-differential operators with meromorphic symbols based on the recently introduced complex Fourier transform is developed and applied for initial and boundary value problems for systems of complex differential and pseudo-differential equations.
Author: Luigi Rodino
Publisher: Springer Science & Business Media
ISBN: 3034800495
Category : Mathematics
Languages : en
Pages : 309
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Book Description
This volume consists of eighteen peer-reviewed papers related to lectures on pseudo-differential operators presented at the meeting of the ISAAC Group in Pseudo-Differential Operators (IGPDO) held at Imperial College London on July 13-18, 2009. Featured in this volume are the analysis, applications and computations of pseudo-differential operators in mathematics, physics and signal analysis. This volume is a useful complement to the volumes “Advances in Pseudo-Differential Operators”, “Pseudo-Differential Operators and Related Topics”, “Modern Trends in Pseudo-Differential Operators”, “New Developments in Pseudo-Differential Operators” and “Pseudo-Differential Operators: Complex Analysis and Partial Differential Equations” published in the same series in, respectively, 2004, 2006, 2007, 2009 and 2010.
Author: Bert-Wolfgang Schulze
Publisher: Springer Science & Business Media
ISBN: 3034601980
Category : Mathematics
Languages : en
Pages : 294
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Book Description
Consists of the expository paper based on the 6-hour minicourse given by Professor Bert-Wolfgang Schulze, and sixteen papers based on lectures given at the workshop and on invitations.
Author: Jukka Saranen
Publisher: Springer Science & Business Media
ISBN: 3662047969
Category : Mathematics
Languages : en
Pages : 461
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Book Description
An attractive book on the intersection of analysis and numerical analysis, deriving classical boundary integral equations arising from the potential theory and acoustics. This self-contained monograph can be used as a textbook by graduate/postgraduate students. It also contains a lot of carefully chosen exercises.
Author: Michael E. Taylor
Publisher: American Mathematical Soc.
ISBN: 0821843788
Category : Mathematics
Languages : en
Pages : 274
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Book Description
Developing three related tools that are useful in the analysis of partial differential equations (PDEs) arising from the classical study of singular integral operators, this text considers pseudodifferential operators, paradifferential operators, and layer potentials.
Author: M. W. Wong
Publisher: Birkhäuser
ISBN: 3319475126
Category : Mathematics
Languages : en
Pages : 242
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Book Description
This volume consists of papers inspired by the special session on pseudo-differential operators at the 10th ISAAC Congress held at the University of Macau, August 3-8, 2015 and the mini-symposium on pseudo-differential operators in industries and technologies at the 8th ICIAM held at the National Convention Center in Beijing, August 10-14, 2015. The twelve papers included present cutting-edge trends in pseudo-differential operators and applications from the perspectives of Lie groups (Chapters 1-2), geometry (Chapters 3-5) and applications (Chapters 6-12). Many contributions cover applications in probability, differential equations and time-frequency analysis. A focus on the synergies of pseudo-differential operators with applications, especially real-life applications, enhances understanding of the analysis and the usefulness of these operators.
