Exemplos de uso de Cauchy problem em Inglês e suas traduções para o Português
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The Cauchy problem for a class of hyperbolic operators.
X('t ind. 0')'x sob.~' and the solutions of the perturbed cauchy problem'dx sup.
In this work we study the cauchy problem associated to an equation of plates in n-dimensional space.
We establish the existence anduniqueness of the solutions of the associated cauchy problem in a suitable functional framework.
In this work we study the cauchy problem for a coupled system of derivative nonlinear schr¿odinger equations.
More specifically, we are interested in establishing a relation between the solutions of the cauchy problem for a linear generalized ordinary differential equation'dx sup.
While the classical cauchy problem has a function as a solution, the solution of the problem with fuzzy initial condition is a fuzzy relation.
Global well-posedness is verified for the cauchy problem in a suitable functional space.
Studying the Cauchy problem allows one to formulate the concept of causality in general relativity, as well as'parametrising' solutions of the field equations.
The main goal was define a suitable energy related to the cauchy problem and derive decay estimates for such energy.
The Cauchy problem(sometimes called the initial value problem) is the attempt at finding a solution to a differential equation given initial conditions.
Initially we prove that the energy of the solution of the cauchy problem for this equation locally decays at a polynomial rate.
In this work, we study the cauchy problem in rn for three equations with fractional damping, namely: the wave equation, the system of elastic waves and plates equation.
Our objetive is to present a abstract cauchy-kowalewski theorem andapply it to solve the periodic cauchy problem for the camassa-holm equation.
This work studies the formulation of the cauchy problem with fuzzy initial condition and presents a method to solve this problem. .
They are one of several types of classes of PDE problems defined by the information given at the boundary,including Neumann problems and Cauchy problems.
We also prove that there exists a one-to-one correspondence between the cauchy problem for a linear functional differential equations of the form{'y ponto' l(t)'y ind.
However, such extensions may produce undesirable effects,as the appearing of¿ghosts¿and also equations of order greater than two, which complicates the cauchy problem.
In this thesis we study the asymptotic properties for the solution of the cauchy problem for the klein-gordon equation with non-effective time-dependent potential.
In this work, mainly based on the articles,[1],[2] and[7], one studies a reactiondiffusion- convection system, related the propagation of a combustion front through a porous medium,giving origin a cauchy problem.
In this approach typically are solved cauchy problems, which can be unstable and require specific methods for its solution, such as the method of fundamental solutions mfs.
Abstract It is well known in the literature of nonlinear ordinary differential equations that the solution of the Cauchy problem blows up in finite time, even for small initial data.
Then extending the solution of the cauchy problem for complex time we prove that the solution operator associated with the cauchy problem is analytic in a suitable sector of the complex plane.
We study the problem of existence and uniqueness of local andglobal solution of the following cauchy problem for a class of nonlinear wave equations of sixth order.
We study the cauchy problem associated to the coupled schr¿dinger equations, which o appears modeling problems in non linear optics. where the initial data are considered in the classical sobolev spaces(u0, v0)¿h¿(r)¿h s r.
The main goal in this dissertation is to study the classical results of existence and uniqueness for the cauchy problem for the euler equations or navier-stokes equations in r2 and r3 without external forces.
This extension allows to include, as a paradigmatic example, the dirac operator on a lorentzian manifold and, at the same time, prove the usual basic results about existence and uniqueness of solutions,as well as well-posedness, of the cauchy problem on globally hyperbolic space-times.
In physics, a Cauchy horizon is a light-like boundary of the domain of validity of a Cauchy problem a particular boundary value problem of the theory of partial differential equations.
In the stochastic setting and when the generator is analytic and admits a bounded functional calculus in a banach space with pisier property, our main result consists of necessary andsucient functional analytic conditions for the existence of an invariant measure for the stochastic cauchy problem.
Definition==A partial differential equation is hyperbolic at a point"P" provided that the Cauchy problem is uniquely solvable in a neighborhood of"P" for any initial data given on a non-characteristic hypersurface passing through"P.