Results 221 to 230 of about 13,219 (262)

ON THE CAUCHY PROBLEM FOR PARABOLIC PSEUDO-DIFFERENTIAL EQUATIONS

open access: yesON THE CAUCHY PROBLEM FOR PARABOLIC PSEUDO-DIFFERENTIAL EQUATIONS
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Lorentz-Invariant Pseudo-Differential Wave Equations

International Journal of Theoretical Physics, 1998
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Barci, D. G.   +3 more
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On a Pseudo-Differential Equation¶for Stokes Waves

Archive for Rational Mechanics and Analysis, 2002
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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SOLVING A NONLINEAR PSEUDO-DIFFERENTIAL EQUATION OF BURGERS TYPE

Stochastics and Dynamics, 2008
In this paper, we study the initial value problem for a class of nonlinear equations of Burgers type in the following form: [Formula: see text] for u:(t,x) ∈ (0,∞) × ℝn↦ ℝ, where q(x,D) is a pseudo-differential operator with negative definite symbol. We solve the initial value problem for the equation on ℝnby utilising a fix point argument based upon a
Jacob, Niels   +2 more
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ON THE CAUCHY PROBLEM FOR SOME PSEUDO-DIFFERENTIAL EQUATIONS OF SCHRÖDINGER TYPE

Mathematical Models and Methods in Applied Sciences, 1996
A fundamental solution of the Cauchy problem is constructed for a pseudo-differential equation generalizing some Schrödinger equations. Then well-posedness of the Cauchy problem is proved in some Gevrey spaces whose indices depend on the lower order term of the operator.
Agliardi, R., Mari, D.
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Pointwise Computation in an Ill-Posed Spherical Pseudo-Differential Equation

Computational Methods in Applied Mathematics, 2015
Abstract In the present paper, we consider the approximation of the solution of an ill-posed spherical pseudo-differential equation at a given point. While the methods for approximating the whole solution are well-studied in Hilbert spaces, such as the space of square-summable functions, the computation of values of the solution at given
Sergei V. Pereverzyev, Pavlo Tkachenko
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Digital Approximations for Pseudo-Differential Equations and Error Estimates

2019
We consider a discrete version of pseudo-differential operators and equations in appropriate discrete functional spaces. Using a special factorization for an elliptic symbol we obtain certain results on a solvability for such discrete equations and give a comparison between discrete and continuous solutions.
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ON LOCAL UNSOLVABILITY AND NONHYPOELLIPTICITY OF (PSEUDO-) DIFFERENTIAL EQUATIONS WITH WEIGHTED SYMBOLS

Mathematics of the USSR-Sbornik, 1984
Translation from Mat. Sb., Nov. Ser. 119(161), No.4, 548-563 (Russian) (1982; Zbl 0514.35089).
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