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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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THE LOCAL SOLVABILITY OF A CLASS OF PSEUDO–DIFFERENTIAL EQUATIONS OF PRINCIPAL TYPE

Acta Mathematica Scientia, 1986
The local solvability of pseudo differential equations already have been mentioned by many authors, but in general, the pseudo differential operators which were discussed belong to \(S^ m_{10}\), and their principal symbols p(x,\(\xi)\) are homogeneous functions with respect to \(\xi\).
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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   +1 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.
MARCO CAPPIELLO   +2 more
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Normal form coordinates for the Benjamin-Ono equation having expansions in terms of pseudo-differential operators

Discrete and Continuous Dynamical Systems, 2022
Riccardo Montalto, Thomas Kappeler
exaly  

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