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Progress in Partial Differential Equations

Progress in Partial Differential Equations PDF Author: Michael Reissig
Publisher: Springer Science & Business Media
ISBN: 3319001256
Category : Mathematics
Languages : en
Pages : 448

Book Description
Progress in Partial Differential Equations is devoted to modern topics in the theory of partial differential equations. It consists of both original articles and survey papers covering a wide scope of research topics in partial differential equations and their applications. The contributors were participants of the 8th ISAAC congress in Moscow in 2011 or are members of the PDE interest group of the ISAAC society. This volume is addressed to graduate students at various levels as well as researchers in partial differential equations and related fields. The readers will find this an excellent resource of both introductory and advanced material. The key topics are: • Linear hyperbolic equations and systems (scattering, symmetrisers) • Non-linear wave models (global existence, decay estimates, blow-up) • Evolution equations (control theory, well-posedness, smoothing) • Elliptic equations (uniqueness, non-uniqueness, positive solutions) • Special models from applications (Kirchhoff equation, Zakharov-Kuznetsov equation, thermoelasticity)

Progress in Partial Differential Equations

Progress in Partial Differential Equations PDF Author: Michael Reissig
Publisher: Springer Science & Business Media
ISBN: 3319001256
Category : Mathematics
Languages : en
Pages : 448

Book Description
Progress in Partial Differential Equations is devoted to modern topics in the theory of partial differential equations. It consists of both original articles and survey papers covering a wide scope of research topics in partial differential equations and their applications. The contributors were participants of the 8th ISAAC congress in Moscow in 2011 or are members of the PDE interest group of the ISAAC society. This volume is addressed to graduate students at various levels as well as researchers in partial differential equations and related fields. The readers will find this an excellent resource of both introductory and advanced material. The key topics are: • Linear hyperbolic equations and systems (scattering, symmetrisers) • Non-linear wave models (global existence, decay estimates, blow-up) • Evolution equations (control theory, well-posedness, smoothing) • Elliptic equations (uniqueness, non-uniqueness, positive solutions) • Special models from applications (Kirchhoff equation, Zakharov-Kuznetsov equation, thermoelasticity)

Progress in Partial Differential Equations

Progress in Partial Differential Equations PDF Author:
Publisher:
ISBN:
Category : Differential equations, Partial
Languages : en
Pages :

Book Description


A Stability Technique for Evolution Partial Differential Equations

A Stability Technique for Evolution Partial Differential Equations PDF Author: Victor A. Galaktionov
Publisher: Springer Science & Business Media
ISBN: 1461220505
Category : Mathematics
Languages : en
Pages : 388

Book Description
* Introduces a state-of-the-art method for the study of the asymptotic behavior of solutions to evolution partial differential equations. * Written by established mathematicians at the forefront of their field, this blend of delicate analysis and broad application is ideal for a course or seminar in asymptotic analysis and nonlinear PDEs. * Well-organized text with detailed index and bibliography, suitable as a course text or reference volume.

Nonlinear Partial Differential Equations

Nonlinear Partial Differential Equations PDF Author: Mi-Ho Giga
Publisher: Springer Science & Business Media
ISBN: 0817646515
Category : Mathematics
Languages : en
Pages : 294

Book Description
This work will serve as an excellent first course in modern analysis. The main focus is on showing how self-similar solutions are useful in studying the behavior of solutions of nonlinear partial differential equations, especially those of parabolic type. This textbook will be an excellent resource for self-study or classroom use.

Progress in Elliptic and Parabolic Partial Differential Equations

Progress in Elliptic and Parabolic Partial Differential Equations PDF Author: A Alvino
Publisher: CRC Press
ISBN: 9780582259706
Category : Mathematics
Languages : en
Pages : 236

Book Description
This Research Note collects reports of the invited plenary addresses given during the conference Elliptic and Parabolic Partial Differential Equations and Applications held in Capri, Italy, 19-23 September 1994. The conference was devoted to new developments in partial differential equations of elliptic and parabolic type and to their applications in various fields.

Progress in Partial Differential Equations

Progress in Partial Differential Equations PDF Author: Michael Reissig
Publisher: Springer
ISBN: 9783319001265
Category : Mathematics
Languages : en
Pages : 447

Book Description
Progress in Partial Differential Equations is devoted to modern topics in the theory of partial differential equations. It consists of both original articles and survey papers covering a wide scope of research topics in partial differential equations and their applications. The contributors were participants of the 8th ISAAC congress in Moscow in 2011 or are members of the PDE interest group of the ISAAC society. This volume is addressed to graduate students at various levels as well as researchers in partial differential equations and related fields. The readers will find this an excellent resource of both introductory and advanced material. The key topics are: • Linear hyperbolic equations and systems (scattering, symmetrisers) • Non-linear wave models (global existence, decay estimates, blow-up) • Evolution equations (control theory, well-posedness, smoothing) • Elliptic equations (uniqueness, non-uniqueness, positive solutions) • Special models from applications (Kirchhoff equation, Zakharov-Kuznetsov equation, thermoelasticity)

Progress in Partial Differential Equations

Progress in Partial Differential Equations PDF Author: Michel Chipot
Publisher: CRC Press
ISBN: 9780582253803
Category : Mathematics
Languages : en
Pages : 244

Book Description
Presents some recent advances in various important domains of partial differential equations and applied mathematics including harmonic maps, Ginzburg - Landau energy, liquid crystals, superconductivity, homogenization and oscillations, dynamical systems and inertial manifolds. These topics are now part of various areas of science and have experienced tremendous development during the last decades.

Progress in Partial Differential Equations

Progress in Partial Differential Equations PDF Author: Herbert Amann
Publisher: CRC Press
ISBN: 9780582317093
Category : Mathematics
Languages : en
Pages : 228

Book Description
The numerous applications of partial differential equations to problems in physics, mechanics, and engineering keep the subject an extremely active and vital area of research. With the number of researchers working in the field, advances-large and small-come frequently. Therefore, it is essential that mathematicians working in partial differential equations and applied mathematics keep abreast of new developments. Progress in Partial Differential Equations, presents some of the latest research in this important field. Both volumes contain the lectures and papers of top international researchers contributed at the Third European Conference on Elliptic and Parabolic Problems. In addition to the general theory of elliptic and parabolic problems, the topics covered at the conference include: applications free boundary problems fluid mechanics ogeneral evolution problems calculus of variations ohomogenization omodeling numerical analysis. The research notes in these volumes offer a valuable update on the state-of-the-art in this important field of mathematics.

Progress in Partial Differential Equations The Metz Surveys 2

Progress in Partial Differential Equations The Metz Surveys 2 PDF Author: Michel Chipot
Publisher: CRC Press
ISBN: 9780582227699
Category : Mathematics
Languages : en
Pages : 254

Book Description
This volume presents papers from the conferences given at the University of Metz in 1992, and presents some recent advances in various important domains of partial differential equations and applied mathematics. A special attempt has been made to make this work accessible to young researchers and non-specialists.

Floquet Theory for Partial Differential Equations

Floquet Theory for Partial Differential Equations PDF Author: P.A. Kuchment
Publisher: Birkhäuser
ISBN: 3034885733
Category : Science
Languages : en
Pages : 363

Book Description
Linear differential equations with periodic coefficients constitute a well developed part of the theory of ordinary differential equations [17, 94, 156, 177, 178, 272, 389]. They arise in many physical and technical applications [177, 178, 272]. A new wave of interest in this subject has been stimulated during the last two decades by the development of the inverse scattering method for integration of nonlinear differential equations. This has led to significant progress in this traditional area [27, 71, 72, 111 119, 250, 276, 277, 284, 286, 287, 312, 313, 337, 349, 354, 392, 393, 403, 404]. At the same time, many theoretical and applied problems lead to periodic partial differential equations. We can mention, for instance, quantum mechanics [14, 18, 40, 54, 60, 91, 92, 107, 123, 157-160, 192, 193, 204, 315, 367, 412, 414, 415, 417], hydrodynamics [179, 180], elasticity theory [395], the theory of guided waves [87-89, 208, 300], homogenization theory [29, 41, 348], direct and inverse scattering [175, 206, 216, 314, 388, 406-408], parametric resonance theory [122, 178], and spectral theory and spectral geometry [103 105, 381, 382, 389]. There is a sjgnificant distinction between the cases of ordinary and partial differential periodic equations. The main tool of the theory of periodic ordinary differential equations is the so-called Floquet theory [17, 94, 120, 156, 177, 267, 272, 389]. Its central result is the following theorem (sometimes called Floquet-Lyapunov theorem) [120, 267].