Local Solvability, Blow-up, and Hölder Regularity of Solutions to Some Cauchy Problems for Nonlinear Plasma Wave Equations: I. Green Formulas

М. О. Корпусов, E. A. Ovsyannikov

Type: Article

Publication Date: 2022-10-01

Citations: 3

DOI: https://doi.org/10.1134/s096554252209007x

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Computational Mathematics and Mathematical Physics - View

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Action	Title	Year	Authors
+	Local Solvability, Blow-up, and Hölder Regularity of Solutions to Some Cauchy Problems for Nonlinear Plasma Wave Equations: II. Potential Theory	2023	М. О. Корпусов E. A. Ovsyannikov
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Works Cited by This (16)

Action	Title	Year	Authors
+	POTENTIAL THEORY FOR THE EQUATION OF SMALL OSCILLATIONS OF A ROTATING FLUID	1980	Boris V. Kapitonov
+	On the general theory of operator semigroups	1994	G. A. Sviridyuk
+	Blow-up for one Sobolev problem: Theoretical approach and numerical analysis	2016	М. О. Корпусов D. V. Lukyanenko Alexander Anatolyevich Panin E. V. Yushkov
+	Blow‐up phenomena in the model of a space charge stratification in semiconductors: analytical and numerical analysis	2016	М. О. Корпусов D. V. Lukyanenko Alexander Anatolyevich Panin E. V. Yushkov
+	Blow-up of solutions of a full non-linear equation of ion-sound waves in a plasma with non-coercive non-linearities	2017	М. О. Корпусов D. V. Lukyanenko Alexander Anatolyevich Panin E. V. Yushkov
+	On the nonextendable solution and blow-up of the solution of the one-dimensional equation of ion-sound waves in a plasma	2017	М. О. Корпусов Alexander Anatolyevich Panin
+	Instantaneous blow-up versus local solvability for one problem of propagation of nonlinear waves in semiconductors	2017	М. О. Корпусов D. V. Lukyanenko
+	Local solvability and solution blow-up of one-dimensional equations of the Yajima–Oikawa–Satsuma type	2017	Alexander Anatolyevich Panin Grigory Igorevich Shlyapugin
+	On the blow‐up phenomena for a 1‐dimensional equation of ion sound waves in a plasma: Analytical and numerical investigation	2018	М. О. Корпусов D. V. Lukyanenko Alexander Anatolyevich Panin Grigory Igorevich Shlyapugin
+	The equation and several problems associated with it	1986	S.A. Gabov B.B. Orazov