4 edition of **Symbolic Calculus for Semilinear Hyperbolic Progressing Waves** found in the catalog.

- 177 Want to read
- 29 Currently reading

Published
**June 2000**
by Nova Science Pub Inc
.

Written in English

- Calculus & mathematical analysis,
- Calculus,
- Mathematics,
- Differential equations, Hyperb,
- Differential equations, Hyperbolic,
- Nonlinear wave equations,
- Numerical solutions,
- Singularities (Mathematics),
- Science/Mathematics

**Edition Notes**

Contributions | H. Bougrini (Editor), A. Piriou (Editor) |

The Physical Object | |
---|---|

Format | Hardcover |

Number of Pages | 104 |

ID Numbers | |

Open Library | OL12120175M |

ISBN 10 | 1560728787 |

ISBN 10 | 9781560728788 |

A collection of programs from my precal book, Precalculus with Limits A Graphing Approach. Check readme for specifics. precalc.8xg: 8k: Pre-Calc My math teacher advised me to submit this, it is very helpful when doing Pre-Calculus problems. : 3k: Pre-Calculus I created this program for my Pre-Calculus class in. Chapter 1. Progressing waves 7 Chapter 2. Radon transform 15 Chapter 3. Distributions conormal at a hypersurface 23 Chapter 4. Parametrix for the Cauchy problem 37 Chapter 5. Operations on conormal distributions 41 Chapter 6. Forward fundamental solution 49 Chapter 7. Symbolic properties of conormal distributions 57 Chapter 8.

Symbolic Calculus Calculus is done using symbolic expressions which consist of symbols and numeric objects linked by operators (functions). Note. While polynomial manipulation can be done with expressions, it is more efficient to use polynomial ring elements. change of variable, integrating factor), and vector calculus (e.g. vector identities, Green’s theorem). Outline of course: Introduction: de nitions examples First order PDEs: linear & semilinear characteristics quasilinear nonlinear system of equations Second order linear PDEs: classi cation elliptic parabolic Book list:File Size: KB.

Online tools for doing symbolic mathematics. This question is similar to this one, but specifically relates to resources available strictly as on-line web apps. Examples include: hicalc not sure what this is; the site is currently blocked from my location. Any good book on calculus will have more details on this. grad uses prototypes to allow for a variety of usages. In its most basic form, it accepts only one argument which may either be a Math::Symbolic tree or a string both of which will be interpreted as the function to compute the gradient for.

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Buy Symbolic Calculus for Semilinear Hyperbolic Progressing Waves on FREE SHIPPING on qualified orders Symbolic Calculus for Semilinear Hyperbolic Progressing Waves: H. Bougrini, A. Piriou: : Books. Free 2-day shipping. Buy Symbolic Calculus for Semilinear Hyperbolic Progressing Waves at ISBN: OCLC Number: Description: xii, pages ; 24 cm: Other Titles: Symbolic calculus for semilinear hyperbolic progressing waves.

Part of the Atlantis Studies in Differential Equations book series (ASDE, volume 4) In this chapter we study the Dirichlet problem for the semilinear hyperbolic equation. This is a preview of subscription content, log in to check by: 1.

Melrose and A. Sá Barreto, Examples of nondiscreteness for the interaction geometry of semilinear progressing waves in two space dimensions, In Partial Differential Equations, F.

Cardoso ed. Lecture notes in Mathematics, Springer Verlag Cited by: 1. We consider the Cauchy problem for the semilinear wave equation. The Cauchy data are assumed to be conormal with respect to a point, and the source term is polynomial with respect to the solution and its first by: 1.

You can write a book review and share your experiences. Other readers will always be interested in your opinion of the books you've read.

Whether you've loved the book or not, if you give your honest and detailed thoughts then people will find new books that are right for them. We consider the Cauchy problem for the semilinear wave equation. The Cauchy data are assumed to be conormal with respect to a point, and the.

An introduction to nonlinear hyperbolic waves discussion in this book is nonlinear waves which appear as solutions problem for the semilinear equation () also breaks down after a ﬁnite time due to an unbounded increase in the amplitude of the so-lution.

However, the breakdown of the solution of () is due to aFile Size: KB. In particular, in the study of the interaction of progressing waves, he used the paratangent vector TZ instead of tangent vector Z (z is the symbol of Z) and then defined recursively Hl (E1, E2) as the set [u E Hl -'(El, E2); Tzu E Hl -'(El, E2), for all Z tangent to the characteristic surfaces E1, E2 with C coefficients), where E1 and E2 are C'.Cited by: 2.

Sage Reference Manual: Symbolic Calculus, Release Calculus is done using symbolic expressions which consist of symbols and numeric objects linked by operators (func- tions). Note: While polynomial manipulation can be done with expressions, it is more efﬁcient to use polynomial ring Size: 1MB.

In this paper, we obtain a global exact controllability result for a class of multidimensional semilinear hyperbolic equations with a superlinear nonlinearity and variable coefficients. For this purpose, we establish an observability estimate for the linear hyperbolic equation with an unbounded potential, in which the crucial observability constant is estimated explicitly by a Cited by: Assuming that the linear part of the equation is an elliptic pseudodifferential operator of infinite order with a sub-exponential growth of its symbol and that the non linear part is given by an.

Interaction of Progressing Waves MICHAEL BEALS 1. Introduction. Let u be a sufficiently smooth solution to the semilinear equation () p(t,Xi,x2-,dt,dXl,dX:i)U = f(t,xuX2,U) on an open set in R x R2 containing the origin.

Here / is assumed to be a smooth function of its arguments, and p(t,xi,X2',dt,dXl A,) is a second order differential. Pseudodifferential Operators and Nonlinear PDE. This book is number in the Birkhauser Series, Progress in Mathematics.

It deals with the use of pseudodifferential operators as a tool in nonlinear PDE. One goal has been to build a bridge between two approaches that have been used in a number of works, one being the theory. Physical laws are for the most part expressed in terms of differential equations, and natural classes of these are in the form of conservation laws or of problems of the calculus of variations for an action functional.

These problems can generally be posed as Hamiltonian systems. Global Cauchy Problem for Semilinear Hyperbolic Systems 3 II. Abstract setting Let X0 be a Banach space, non necessarily reﬂexive, and denote its norm by k.k T∗∈]0,∞], x∈ X0, we investigate the Cauchy problem (II.1) du(t) dt +A tu(t) = [F(u)](t), 0 ≤ tCited by: For scalar semilinear wave equations, we analyze the interaction of two (distorted) [21, Theorem 2] showed that the interaction of three progressing waves could generate new waves.

Explicit examples when the new waves are indeed produced have been constructed by played an important role in the inverse problem for nonlinear hyperbolic. Showing how MATLAB® can help solve computational problems in engineering, Elementary Mathematical and Computational Tools for Electrical and Computer Engineers Using MATLAB®, Second Edition explores practical mathematical methods 5/5(1).

Symbolic Calculus for Semilinear Hyperbolic Progressing Waves Hassane Bougini The main purpose of this book is to give a self-contained synthesis of different results in the domain of symbolic calculus of conormal singularities of semilinear hyperbolic progressing waves.

() Output feedback boundary control of series interconnections of 2 × 2 semilinear hyperbolic systems. IFAC-PapersOnLine() Integral-type approximate controllability of linear parabolic integro-differential by: Books [1] X. Zhang, Exact Controllability of Semi-linear Distributed Parameter Systems, Gaodeng Jiaoyu Chubanshe (Higher Education Press), Beijing, (In Chinese).

pages. ISBN: [2] Q. Lü and X. Zhang, General Pontryagin-Type Stochastic Maximum Principle and Backward Stochastic Evolution Equations in Infinite Dimensions, Springer Briefs .Buy Differential Calculus & Equations at WHSmith.

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