5 edition of **Semi-linear hyperbolic problems in bounded domains** found in the catalog.

- 47 Want to read
- 5 Currently reading

Published
**1987**
by Harwood Academic Publishers in Chur, New York
.

Written in English

- Evolution equations, Nonlinear.,
- Boundary value problems.

**Edition Notes**

Statement | Alain Haraux. |

Series | Mathematical reports,, v. 3, pt. 1, Mathematical reports (Chur, Switzerland) ;, v. 3, pt. 1. |

Classifications | |
---|---|

LC Classifications | QA372 .H28 1987 |

The Physical Object | |

Pagination | xxiii, 287 p. ; |

Number of Pages | 287 |

ID Numbers | |

Open Library | OL2095360M |

ISBN 10 | 3718604604 |

LC Control Number | 88140835 |

In this paper, we are interested in the stochastic perturbation of a first-order hyperbolic equation of nonlinear type. In order to illustrate our purposes, we have chosen a scalar conservation law in a bounded domain with homogeneous Dirichlet condition on the by: Large-time asymptotic properties of solutions to a class of semi-linear stochastic wave equations with damping in a bounded domain are considered. First an energy inequality and the exponential bound for a linear stochastic equation are established. Under appropriate conditions, the existence theorem for a unique global solution is given.

The domain is bounded: Cauchy problem for hyperbolic PDE with or without sources The method for solving the Cauchy problem for hyperbolic PDE (in unbounded domains) has been expanded to include different types of sources as well as functions in the initial conditions. Here is an example without sources in the PDE, where now we can haveFile Size: KB. The compactiﬁcation problem Hyperbolic equations have a ﬁnite speed of propagation and oscillatory solutions. Ρ t Ρ u How can we solve hyperbolic equations on unbounded domains if they are incompatible with compactiﬁcation due to these properties?

A large number of investigations have been devoted to boundary value problems in nonsmooth domains with conical points. Up to now, elliptic boundary value problems in domains with point singularities have been thoroughly investigated (see, e.g., [1–3]). We are concerned with hyperbolic equations in domains with conical by: 1. Chyzhykov, I. and Voitovych, M. Growth description of pth means of the Green potential in the unit ball. Complex Variables and Elliptic Equations, Vol. 62, Issue. 7, p. Chen, Jiaolong Dirichlet-type energy integrals of hyperbolic harmonic mappings. Complex Variables and Elliptic Cited by: 9.

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Buy Semi-Linear Hyperbolic Problems in Bounded Domains (Mathematical Reports, Vol 3, Pt 1) on FREE Semi-linear hyperbolic problems in bounded domains book on qualified ordersCited by: Semi-linear hyperbolic problems in bounded domains. Chur ; New York: Harwood Academic Publishers, [] (OCoLC) Material Type: Internet resource: Document Type: Book, Internet Resource: All Authors / Contributors: Alain Haraux.

Cite this paper as: Haraux A. () Recent results on semi-linear hyperbolic problems in bounded domains. In: Cardoso F., de Figueiredo D.G., Iório R., Lopes O. (eds) Partial Differential Equations. Lecture Notes in Mathematics, vol Cited by: 6.

PDF | OnA. Haraux and others published Recent results on semi-linear hyperbolic problems in bounded domains | Find, read and cite all the research you need on ResearchGateAuthor: Alain Haraux. In this article, our goal is to prove the existence and uniqueness of solution for 1D and 2D semi-linear hyperbolic equations in a bounded domain with a monotone nonlinear by: 1.

Semi-linear Hyperbolic Equation Evolution semi-linear hyperbolic equations in a bounded domain Article (PDF Available) in Asymptotic Analysis 84() February with 69 Reads.

equations in bounded domains where (with the exception of elliptic equations) a list of well-studied boundary problems seems to be sporadic (the Cauchy and the Goursat problems in characteristic cones, the mixed problem for hyperbolic operators, the latter problem for parabolic operators, the Tricomi problem, and some other tasks).

Domain perturbation for linear and semi-linear boundary value problems 3 1. Introduction The purpose of this survey is to look at elliptic boundary value problems Anu = f in n, Bnu = 0on∂ n with all major types of boundary conditions on a sequence of open sets n in RN (N ≥ 2).

We then study conditions under which the solutions converge to a. In this survey we review positive inverse spectral and inverse resonant results for the following kinds of problems: Laplacians on bounded domains, Laplace- Beltrami operators on compact manifolds, Schrödinger operators, Laplacians on exterior domains, and Laplacians on manifolds which are hyperbolic near inﬁnity.

Besides the total mass m, the total energy E is another quantity which can be shown bounded in terms of the data at least on compact time intervals. P roposition Let Ω ⊂ R N be a bounded Lipschitz domain. Let ϱ, u be a finite energy weak solution of ()–() where the pressure satisfies the isentropic constitutive law () with γ > N/2.

About these proceedings. Introduction. The Latin American School of Mathematics (ELAM) is one of the most important mathematical events in Latin America.

It has been held every other year since in a different country of the region, and its theme varies according to. For the two-dimensional case, and letting, we consider problem () in the cylinder, where is a bounded domain in is smooth, and () Thus, the change of variablesAuthor: Nguyen Manh Hung, Vu Trong Luong.

Haraux Semi-linear hyperbolic problems in bounded domains (Harwood, Chur-London-Paris-New York-Melbourne) [20] P. Hartman "A lemma in the theory of structural stability of differential equations" Proc.

Math. Soc 11 Cited by: 8. Books. Conferences; News; Order. General Information; Journal Prices; Book Prices/Order; "Semi-linear Hyperbolic Problems in Bounded Domains," Mathematical reports Vol.

3, Part 1, "Semi-linear Hyperbolic Problems in Bounded Domains," Mathematical reports Vol. 3, Part 1, Cited by: 3. hyperbolic type in a bounded domain.

In the book of Isakov () using the tool of Carleman estimates the author investigate the inverse problems for hyperbolic, parabolic and elliptic equations and then proved the existence and uniqueness theorems for the solutions of the considered problem.

In this paper, using the idea of work Bubnov ( Here we consider only the Cauchy problem on the unbounded spatial domain, since the introduction of boundary conditions leads to a whole new set of difficulties in analyzing the methods.

We will generally assume that the initial data has compact support, meaning that it is nonzero only over some bounded. Authors: Huang, Aimin | Pham, Du Article Type: Research Article Abstract: In this article, our goal is to prove the existence and uniqueness of solution for 1D and 2D semi-linear hyperbolic equations in a bounded domain with a monotone nonlinear term.

We use elliptic regularization and a finite difference scheme in time to build the approximate solutions for the semi-linear hyperbolic. Backward semi-linear parabolic equations with time-dependent coefficients and local Lipschitz source p ].

Due to it, let Ω be a connected, bounded domain in and with a positive integer, with c > 0, a.e. in Ω, and. Then for such Il’in V A On solvability of mixed problems for hyperbolic and parabolic equations Usp. Mat. Nauk Cited by: 2. ify their domains, • deﬁne the reprocal functions sechx, cschx and cothx.

Contents 1. Introduction 2 2. Deﬁning f(x) = coshx 2 3. Deﬁning f(x) = sinhx 4 4. Deﬁning f(x) = tanhx 7 5. Identities for hyperbolic functions 8 6. Other related functions 9 1 c mathcentre January 9, The aim of this paper is to extend the results in [2, 8] to the case of parabolic system () and hyperbolic system ().As far as we know, this seems to be the first paper, where the blow-up phenomenon is studied with variable exponents for the initial and boundary value problem to some parabolic and hyperbolic by: 3.

Superb introduction devotes almost half its pages to numerical methods for solving partial differential equations, while the heart of the book focuses on boundary-value and initial-boundary-value problems on spatially bounded and on unbounded domains; integral transforms; uniqueness and continuous dependence on data, first-order equations, and more 5/5(1).Abstract.

We prove some decay estimates of the energy of the wave equation in a bounded domain. The damping is nonlinear and is effective only in a neighborhood of a suitable subset of the boundary.

The method of proof is direct and is based on the multipliers technique, on some integral inequalities due to Haraux and Komornik, Cited by: This analysis shows, in particular, that in a connected exterior domain, disturbances gradually drift into the distance and the effect of a disturbance in a bounded domain becomes small after sufficient time passes.

The book is geared toward a wide audience interested in by: