Author: A. PlisPublisher:
ISBN:
Category : Cauchy problem
Languages : en
Pages : 20
Book Description
Non-uniqueness in Cauchy's Problem
Author: A. PlisPublisher:
ISBN:
Category : Cauchy problem
Languages : en
Pages : 20
Book Description
Uniqueness and Non-Uniqueness in the Cauchy Problem
Author: ZuilyPublisher: Springer Science & Business Media
ISBN: 1489966560
Category : Science
Languages : en
Pages : 184
Book Description
Lectures on Uniqueness and Non Uniqueness of the Non Characteristic Cauchy Problem
Author: Claude ZuilyPublisher:
ISBN:
Category : Cauchy problem
Languages : en
Pages : 178
Book Description
On Uniqueness in Cauchy Problems for Elliptic Systems of Equations
Author: Avron DouglisPublisher:
ISBN:
Category : Cauchy problem
Languages : en
Pages : 48
Book Description
Progress in Partial Differential Equations
Author: Michael ReissigPublisher: 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)
The Heat Equation
Author: D. V. WidderPublisher: Academic Press
ISBN: 0080873839
Category : Science
Languages : en
Pages : 285
Book Description
The Heat Equation
Uniqueness and Nonuniqueness Criteria for Ordinary Differential Equations
Author: Ratan Prakash AgarwalPublisher: World Scientific
ISBN: 9789810213572
Category : Mathematics
Languages : en
Pages : 328
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.
Fokker-Planck-Kolmogorov Equations
Author: Vladimir I. BogachevPublisher: American Mathematical Soc.
ISBN: 1470425580
Category : Mathematics
Languages : en
Pages : 495
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.
The Cauchy Problem for Non-Lipschitz Semi-Linear Parabolic Partial Differential Equations
Author: J. C. MeyerPublisher: Cambridge University Press
ISBN: 1316301079
Category : Mathematics
Languages : en
Pages : 177
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.
Fokker–Planck–Kolmogorov Equations
Author: Vladimir I. BogachevPublisher: American Mathematical Society
ISBN: 1470470098
Category : Mathematics
Languages : en
Pages : 495
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.