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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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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   +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   +2 more
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