Cauchy Problem
On polynomials of Sheffer type arising from a Cauchy problem
... canonical Cauchy problem for parabolic equations, namely, the inverse heat conduction ...conduction problem is revisited and an analytic solution depending on the generalized theta polynomials is ...
19
Global classical solutions to the Cauchy problem for a nonlinear wave equation
... GLOBAL CLASSICAL SOLUTIONS TO THE CAUCHY PROBLEM FOR A NONLINEAR WAVE EQUATION.. Universidade Federal Fluminense Instituto de MatemAtica- GAN.[r] ...
16
Modified fractional Cauchy problem in a complex domain
... Some properties are discussed such as the recurrent relations. Moreover, by applying the theory of sums of accretive operators, the existence and uniqueness of the solution of the fractional Cauchy problem ...
10
On the Cauchy problem for singular functional differential equations
... In recent years, a lot of works have been devoted to the solvability of boundary value prob- lems for linear functional differential equations (see, for example, [–]). We consider the Cauchy problem for ...
14
On the Cauchy problem for lower semicontinuous differential inclusions
... We provide a new proof of a classical result by Bressan on the Cauchy problem for first-order differential inclusions with null initial condition. Our approach allows us to prove the result directly for kth ...
10
Global Estimation of the Cauchy Problem Solutions’ the Navier Stokes Equation
... This paper is organized as follows: first, we study the inverse scattering problem, resulting in a formula for the scattering potential. Furthermore, with the use of this potential, we obtain uniform time ...
9
Rank two solutions of the abstract Cauchy problem
... this Problem and studied it using a variety of ...Abstract Cauchy Problem in a Hilbert ...Abstract Cauchy Problem by unifying the methods of semigroups and operational approaches to ...
13
Two rank solutions of the abstract Cauchy problem
... this Problem and studied it using a variety of ...Abstract Cauchy Problem in a Hilbert ...Abstract Cauchy Problem by unifying the methods of semigroups and operational approaches to ...
15
Time estimates for the Cauchy problem for a third order hyperbolic equation
... In [5, 6], Renno obtained an integral representation of the fundamental solu- tion of (1.1) involving modified Bessel functions and constructed the classical solution of the Cauchy problem for (1.1) using ...
9
Cauchy Problem in the Non Classical Treatment for One Pseudoparabolic Equation
... type Cauchy problem is substantiated for a pseudoparabolic equation with non-smooth coefficients and with a fifth order dominating ...Classic Cauchy conditions are reduced to non-classic ...
5
An Alternating KMF Algorithm to Solve the Cauchy Problem for Laplace’s Equation
... inverse problem by a well- posed problem in the sense of Hadamard by introducing some parameter tends to ...a Cauchy problem, especially Klibanov and Santosa [11], and more recently Bourgeois ...
7
Numerical Results of Sub Cauchy Problem for Linear Elasticity
... sub-Cauchy problem for linear elasticity in two dimentional ...a problem may be formulated as follows: given the displacement and one component of the traction in a given part of the boundary of the ...
7
Nonlocal Cauchy Problem for Nonautonomous Fractional Evolution Equations
... During the past decades, the fractional differential equations have been proved to be valuable tools in the investigation of many phenomena in engineering and physics; they attracted many researchers cf., e.g., 1–9. On ...
17
On the Cauchy problem for a linear harmonic oscillator with pure delay
... a Cauchy problem for a linear second order in time abstract differential equation with pure ...this problem, known as the harmonic oscillator, has a two-dimensional eigenspace so that the solution of ...
20
The Cauchy problem for the seventh-order dispersive equation in Sobolev space
... 1. Kenig, CE, Ponce, G, Vega, L: Higher-order nonlinear dispersive equations. Proc. Am. Math. Soc. 122, 157-166 (1994) 2. Pilod, D: On the Cauchy problem for higher-order nonlinear dispersive equations. J. ...
9
On the Cauchy problem for a weakly dissipative μ Degasperis Procesi equation
... 6. Henry, D: Infinite propagation speed for the Degasperis-Procesi equation. J. Math. Anal. Appl. 311, 755-759 (2005) 7. Yin, Z: Global existence for a new periodic integrable equation. J. Math. Anal. Appl. 283, 129-139 ...
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Quasilinear Stochastic Cauchy Problem in Abstract Colombeau Spaces
... abstract Cauchy problem for a quasilinear equation with the generator of an integrated semigroup and with terms reflecting nonlinear perturbations and white noise type perturbations are under ...
12
A Spectral Regularization Method for a Cauchy Problem of the Modified Helmholtz Equation
... The Cauchy problem for Helmholtz equation arises from inverse scattering ...this problem are ...6. Cauchy problem for elliptic equations is well known to be severely ill-posed 7; that ...
13
Cauchy problem for the Laplace equation in a radially symmetric hollow cylinder
... the problem by eliminating high frequencies of the noisy data directly from the ...the problem of a numerical pseudodifferential operator [], the problem of numerical analytic continuation [], the ...
16
Global 1 Estimation of the Cauchy Problem Solutions to the Navier Stokes Equation
... Thus, obtaining uniform global estimations of the Fourier transform of solutions of the Navier-Stokes equations means that the principle modeling of complex flows and related calculations will be based on the Fourier ...
11