Results 241 to 250 of about 240,138 (261)

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., Bollini, C. G., Oxman, L. E., Rocca, M. C.   +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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Pseudo-differential operators, BKP equation and Weistrass P(x) function

Journal of Physics A: Mathematical and General, 1991
Summary: We present a derivation of the BKP equation based on explicit computation with pseudo-differential operators. In the latter part of our analysis, we show that the stationary solutions of this equation are given by the Weierstrass \(P(x)\) function, by assuming that \(L^ 3\) and \(L^ 5\) commute with \(L^ 4\). Nowhere have we used the machinery
Roy Chowdhury, A., Dasgupta, N.
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Pseudo-Differential Parabolic Equations with Quasi-Homogeneous Symbols

2004
We shall consider the Cauchy problem $$ \partial _t u(t,x) + (Au)(t,x) + \sum\limits_{k = 1}^m {(A_k u)} (t,x) = f(t,x), (t,x) \in \Pi _{(0,T]} , $$ (4.1.1) $$ u(0,x) = \phi (x), $$ (4.1.2) where A, A 1,…A m are pseudo-differential operators with the symbols a(t, x, ξ), a 1 (t, x, ξ), … a m (t, x, ξ), that is, e.g., $$ (Au)(t,x)
Samuil D. Eidelman, Anatoly N. Kochubei, Stepan D. Ivasyshen   +2 more
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Semilinear pseudo-differential equations and travelling waves

2007
We consider semilinear perturbations of the SG-elliptic pseudodifferential equations. We prove for them a theorem on the regularity of the solutions in the functional frame of the Gelfand-Shilov classes. Applications are given to the study of travelling solitary waves.
CAPPIELLO, Marco, T. Gramchev, RODINO, Luigi Giacomo   +2 more
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Pseudo-differential equations

2011
S. Albeverio, A. Yu Khrennikov, V. M. Shelkovich   +2 more
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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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Pseudo-Differential Equations on Manifolds with Non-smooth Boundaries

2013
We discuss the different variants of multidimensional Riemann boundary problem and suggest to use wave factorization to obtain solvability conditions for pseudo-differential equations in model non-smooth domains.
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On solvability of some pseudo-differential equations

Proceeding of the International Conference "Optimal Control and Differential Games" dedicated to the 110th anniversary of L. S. Pontryagin, 2018
Georgii Nikolaevich Aver'yanov, Vladimir Borisovich Vasilyev   +1 more
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APPLICATIONS TO PSEUDO-DIFFERENTIAL EQUATIONS

1994
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