Non-uniqueness in Cauchy's Problem PDF Download
Are you looking for read ebook online? Search for your book and save it on your Kindle device, PC, phones or tablets. Download Non-uniqueness in Cauchy's Problem PDF full book. Access full book title Non-uniqueness in Cauchy's Problem by A. Plis. Download full books in PDF and EPUB format.
Author: A. Plis
Publisher:
ISBN:
Category : Cauchy problem
Languages : en
Pages : 20
Get Book Here
Book Description
Author: A. Plis
Publisher:
ISBN:
Category : Cauchy problem
Languages : en
Pages : 20
Get Book Here
Book Description
Author: Zuily
Publisher: Springer Science & Business Media
ISBN: 1489966560
Category : Science
Languages : en
Pages : 184
Get Book Here
Book Description
Author: Claude Zuily
Publisher:
ISBN:
Category : Cauchy problem
Languages : en
Pages : 178
Get Book Here
Book Description
Author: Avron Douglis
Publisher:
ISBN:
Category : Cauchy problem
Languages : en
Pages : 48
Get Book Here
Book Description
Author: Michael Reissig
Publisher: Springer Science & Business Media
ISBN: 3319001256
Category : Mathematics
Languages : en
Pages : 448
Get Book Here
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)
Author: D. V. Widder
Publisher: Academic Press
ISBN: 0080873839
Category : Science
Languages : en
Pages : 285
Get Book Here
Book Description
The Heat Equation
Author: Ratan Prakash Agarwal
Publisher: World Scientific
ISBN: 9789810213572
Category : Mathematics
Languages : en
Pages : 328
Get Book Here
Book Description
This monograph aims to fill a void by making available a source book which first systematically describes all the available uniqueness and nonuniqueness criteria for ordinary differential equations, and compares and contrasts the merits of these criteria, and second, discusses open problems and offers some directions towards possible solutions.
Author: Vladimir I. Bogachev
Publisher: American Mathematical Soc.
ISBN: 1470425580
Category : Mathematics
Languages : en
Pages : 495
Get Book Here
Book Description
This book gives an exposition of the principal concepts and results related to second order elliptic and parabolic equations for measures, the main examples of which are Fokker-Planck-Kolmogorov equations for stationary and transition probabilities of diffusion processes. Existence and uniqueness of solutions are studied along with existence and Sobolev regularity of their densities and upper and lower bounds for the latter. The target readership includes mathematicians and physicists whose research is related to diffusion processes as well as elliptic and parabolic equations.
Author: J. C. Meyer
Publisher: Cambridge University Press
ISBN: 1316301079
Category : Mathematics
Languages : en
Pages : 177
Get Book Here
Book Description
Reaction-diffusion theory is a topic which has developed rapidly over the last thirty years, particularly with regards to applications in chemistry and life sciences. Of particular importance is the analysis of semi-linear parabolic PDEs. This monograph provides a general approach to the study of semi-linear parabolic equations when the nonlinearity, while failing to be Lipschitz continuous, is Hölder and/or upper Lipschitz continuous, a scenario that is not well studied, despite occurring often in models. The text presents new existence, uniqueness and continuous dependence results, leading to global and uniformly global well-posedness results (in the sense of Hadamard). Extensions of classical maximum/minimum principles, comparison theorems and derivative (Schauder-type) estimates are developed and employed. Detailed specific applications are presented in the later stages of the monograph. Requiring only a solid background in real analysis, this book is suitable for researchers in all areas of study involving semi-linear parabolic PDEs.
Author: Hans Ringström
Publisher: European Mathematical Society
ISBN: 9783037190531
Category : Mathematics
Languages : en
Pages : 310
Get Book Here
Book Description
The general theory of relativity is a theory of manifolds equipped with Lorentz metrics and fields which describe the matter content. Einstein's equations equate the Einstein tensor (a curvature quantity associated with the Lorentz metric) with the stress energy tensor (an object constructed using the matter fields). In addition, there are equations describing the evolution of the matter. Using symmetry as a guiding principle, one is naturally led to the Schwarzschild and Friedmann-Lemaitre-Robertson-Walker solutions, modelling an isolated system and the entire universe respectively. In a different approach, formulating Einstein's equations as an initial value problem allows a closer study of their solutions. This book first provides a definition of the concept of initial data and a proof of the correspondence between initial data and development. It turns out that some initial data allow non-isometric maximal developments, complicating the uniqueness issue. The second half of the book is concerned with this and related problems, such as strong cosmic censorship. The book presents complete proofs of several classical results that play a central role in mathematical relativity but are not easily accessible to those without prior background in the subject. Prerequisites are a good knowledge of basic measure and integration theory as well as the fundamentals of Lorentz geometry. The necessary background from the theory of partial differential equations and Lorentz geometry is included.
