Alexander Anatolyevich Panin

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All published works

Action	Title	Year	Authors
+	К вопросу о разрешимости задачи Коши одной тепло-электрической модели	2025	Margarita Vitalievna Artemeva М. О. Корпусов Alexander Anatolyevich Panin
+	On blow-up and on global existence of weak solutions to Cauchy problem for some nonlinear equation of the pseudoparabolic type	2023	I. K. Katasheva М. О. Корпусов Alexander Anatolyevich Panin
+	On Blow-up and Global Existence of Weak Solutions to Cauchy Problem for Some Nonlinear Equation of the Pseudoparabolic Type	2023	I. K. Katasheva М. О. Корпусов Alexander Anatolyevich Panin
+	Lectures in Nonlinear Functional Analysis	2021	М. О. Корпусов А. V. Ovchinnikov Alexander Anatolyevich Panin
+	On the blow-up of the solution and on the local and global solvability of the Cauchy problem for a nonlinear equation in Hölder spaces	2021	М. О. Корпусов Alexander Anatolyevich Panin
+ PDF Chat	Об особенностях численной диагностики мгновенного разрушения решения на примере решения уравнения медленной диффузии	2021	И.В. Пригорный Alexander Anatolyevich Panin Д.В. Лукьяненко
+ PDF Chat	Some features of numerical diagnostics of instantaneous blow-up of the solution by the example of solving the equation of slow diffusion	2021	И.В. Пригорный Alexander Anatolyevich Panin Д.В. Лукьяненко
+	О критическом показателе "мгновенное разрушение" versus "локальная разрешимость" в задаче Коши для модельного уравнения соболевского типа	2021	М. О. Корпусов Alexander Anatolyevich Panin A. E. Shishkov
+	Numerical determination of the singularity order of a system of differential equations	2020	Ali Baddour М. Д. Малых Alexander Anatolyevich Panin Leonid A. Sevastianov
+	Local solvability and a priori estimates for classical solutions to an equation of Benjamin‐Bona‐Mahony‐Bürgers type	2020	М. О. Корпусов D. V. Lukyanenko Alexander Anatolyevich Panin
+	Blow‐up for Joseph–Egri equation: Theoretical approach and numerical analysis	2020	М. О. Корпусов D. V. Lukyanenko Alexander Anatolyevich Panin
+	Local Solvability and Global Unsolvability of a Model of Ion-Sound Waves in a Plasma	2020	Alexander Anatolyevich Panin Grigory Igorevich Shlyapugin
+ PDF Chat	A study of self-oscillation instability in varicap-based electrical networks: analytical and numerical approaches	2019	В.А. Васильченко М. О. Корпусов Д.В. Лукьяненко Alexander Anatolyevich Panin
+	On Nonextendable Solutions and Blow-Ups of Solutions of Pseudoparabolic Equations with Coercive and Constant-Sign Nonlinearities: Analytical and Numerical Study	2019	I. I. Kolotov Alexander Anatolyevich Panin
+	Instantaneous blow‐up versus local solvability of solutions to the Cauchy problem for the equation of a semiconductor in a magnetic field	2018	М. О. Корпусов А. V. Ovchinnikov Alexander Anatolyevich Panin
+	The solution with internal transition layer of the reaction‐diffusion equation in case of discontinuous reactive and diffusive terms	2018	Н. Т. Левашова Н. Н. Нефедов O. A. Nikolaeva Andrey O. Orlov Alexander Anatolyevich Panin
+	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
+	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 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
+	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
+	Local Solvability and Decay of the Solution of an Equation with Quadratic Noncoercive Nonlineatity	2017	М. О. Корпусов D. V. Lukyanenko E. A. Ovsyannikov Alexander Anatolyevich Panin
+ PDF Chat	Blow-up phenomena in the model of a space charge stratification in semiconductors: numerical analysis of original equation reduction to a differential-algebraic system	2016	Д.В. Лукьяненко Alexander Anatolyevich Panin
+	Singularly perturbed pseudoparabolic equation	2016	А. А. Быков Alexander Anatolyevich Panin A. S. Sharlo
+	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 for one Sobolev problem: Theoretical approach and numerical analysis	2016	М. О. Корпусов D. V. Lukyanenko Alexander Anatolyevich Panin E. V. Yushkov
+	On local solvability and blow-up of solutions of an abstract nonlinear Volterra integral equation	2015	Alexander Anatolyevich Panin
+ PDF Chat	О локальной разрешимости и разрушении решения абстрактного нелинейного интегрального уравнения Вольтерра	2015	Alexander Anatolyevich Panin
+	Blow-up of solutions of an abstract Cauchy problem for a formally hyperbolic equation with double non-linearity	2014	М. О. Корпусов Alexander Anatolyevich Panin
+ PDF Chat	О разрушении решения абстрактной задачи Коши для формально гиперболического уравнения с двойной нелинейностью	2014	Максим Олегович Корпусов М. О. Корпусов Александр Анатольевич Панин Alexander Anatolyevich Panin
+	Local solvability and blowup of the solution of the Rosenau-Bürgers equation with different boundary conditions	2013	Alexander Anatolyevich Panin
+	Local solvability and solution blowup for the Benjamin-Bona-Mahony-Burgers equation with a nonlocal boundary condition	2013	М. О. Корпусов Alexander Anatolyevich Panin
+	Blow-up of solutions of an inhomogeneous system of Sobolev-type equations	2012	Yu. V. Mukhartova Alexander Anatolyevich Panin
+	Blow-up of the solution of an inhomogeneous system of Sobolev-type equations	2012	Yu. V. Mukhartova Alexander Anatolyevich Panin
+	Dependence of the efficiency of a posteriori estimation of the solution accuracy of an elliptic boundary-value problem on the problem data and estimation algorithm parameters	2009	A. N. Bogolyubov М. Д. Малых Alexander Anatolyevich Panin

Common Coauthors

Coauthor	Papers Together
М. О. Корпусов	19
D. V. Lukyanenko	7
Д.В. Лукьяненко	4
Grigory Igorevich Shlyapugin	3
E. V. Yushkov	3
И.В. Пригорный	2
М. Д. Малых	2
I. K. Katasheva	2
Yu. V. Mukhartova	2
А. V. Ovchinnikov	2
A. N. Bogolyubov	1
I. I. Kolotov	1
Н. Т. Левашова	1
M. V. Artem’eva	1
Александр Анатольевич Панин	1
O. A. Nikolaeva	1
Andrey O. Orlov	1
В.А. Васильченко	1
Максим Олегович Корпусов	1
A. E. Shishkov	1
Н. Н. Нефедов	1
Ali Baddour	1
Leonid A. Sevastianov	1
E. A. Ovsyannikov	1
А. А. Быков	1
A. S. Sharlo	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	Some nonexistence and instability theorems for solutions of formally parabolic equations of the form Put=−Au+ℱ(u)	1973	Howard A. Levine	14
+	Blow-up for one Sobolev problem: Theoretical approach and numerical analysis	2016	М. О. Корпусов D. V. Lukyanenko Alexander Anatolyevich Panin E. V. Yushkov	13
+	Third-order nonlinear dispersive equations: Shocks, rarefaction, and blowup waves	2008	В. А. Галактионов Stanislav I. Pohožaev	13
+	Numerical diagnosis of blow-up of solutions of pseudoparabolic equations	2007	A. B. Al’shin Elena Alshina	13
+	Apriori estimates and blow-up of solutions to nonlinear partial differential equations and inequalities	2001	Enzo Mitidieri S. I. Pokhozhaev	12
+	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	11
+ PDF Chat	Some general implicit processes for the numerical solution of differential equations	1963	H.H. Rosenbrock	11
+	On local solvability and blow-up of solutions of an abstract nonlinear Volterra integral equation	2015	Alexander Anatolyevich Panin	11
+	The occurrence of collapse for quasilinear equations of parabolic and hyperbolic types	1978	Varga Κ. Kalantarov O. A. Ladyzhenskaya	11
+	Rosenbrock schemes with complex coefficients for stiff and differential algebraic systems	2006	A. B. Al’shin Elena Alshina N. N. Kalitkin A. B. Koryagina	11
+	Instantaneous blow-up versus local solvability for one problem of propagation of nonlinear waves in semiconductors	2017	М. О. Корпусов D. V. Lukyanenko	10
+	Critical exponents of instantaneous blow-up or local solubility of non-linear equations of Sobolev type	2015	М. О. Корпусов	9
+ PDF Chat	Instability and nonexistence of global solutions to nonlinear wave equations of the form 𝑃𝑢_{𝑡𝑡}=-𝐴𝑢+ℱ(𝓊)	1974	Howard A. Levine	8
+	On the general theory of operator semigroups	1994	G. A. Sviridyuk	7
+	Blow-Up in Nonlinear Equations of Mathematical Physics: Theory and Methods	2018	М. О. Корпусов Alexey Ovchinnikov А.Г. Свешников E. V. Yushkov	6
+	Solving Ordinary Differential Equations II	1996	Ernst Hairer Gerhard Wanner	6
+	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	5
+	Instability and Nonexistence of Global Solutions to Nonlinear Wave Equations of the Form Pu tt = -Au + ℱ(u)	1974	Howard A. Levine	5
+	Instantaneous blow‐up versus local solvability of solutions to the Cauchy problem for the equation of a semiconductor in a magnetic field	2018	М. О. Корпусов А. V. Ovchinnikov Alexander Anatolyevich Panin	5
+	Blow-up in Nonlinear Sobolev Type Equations	2011	A. B. Al’shin М. О. Корпусов А.Г. Свешников	5
+ PDF Chat	О локальной разрешимости и разрушении решения абстрактного нелинейного интегрального уравнения Вольтерра	2015	Alexander Anatolyevich Panin	5
+	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	4
+	Blow-up of ion acoustic waves in a plasma	2011	М. О. Корпусов	4
+ PDF Chat	The problem Of blow-up in nonlinear parabolic equations	2002	Victor A. Galaktionov Juan Luís Vázquez	4
+ PDF Chat	Elliptic Partial Differential Equations of Second Order	2001	David Gilbarg Neil S. Trudinger	4
+	Elements of the Theory of Functions and Functional Analysis	1961	Andrej Nikolaevich Kolmogorov Sergey Fomin	4
+ PDF Chat	NONCLASSICAL EQUATIONS OF MATHEMATICAL PHYSICS. LINEAR SOBOLEV TYPE EQUATIONS OF HIGHER ORDER	2016	A.A. Zamyshlyaeva G. A. Sviridyuk	4
+	On the blow-up of solutions of the Benjamin–Bona–Mahony–Burgers and Rosenau–Burgers equations	2011	М. О. Корпусов	4
+ PDF Chat	Blow up of incompressible Euler solutions	2008	Johan Hoffman Claes Johnson	3
+	A rescaling algorithm for the numerical calculation of blowing‐up solutions	1988	Marsha Berger Robert V. Kohn	3
+	Nichtlineare Operatorgleichungen und Operatordifferentialgleichungen	1975	H. Gajewski Konrad Gröger K. Zacharias	3
+	Analytic–Numerical Investigation of Combustion in a Nonlinear Medium	2018	М. О. Корпусов D. V. Lukyanenko A. D. Nekrasov	3
+	Adaptivity and blow-up detection for nonlinear evolution problems	2015	Andrea Cangiani Emmanuil H. Georgoulis Irene Kyza Stephen Metcalfe	3
+	Solution Blowup for Nonlinear Equations of the Khokhlov–Zabolotskaya Type	2018	М. О. Корпусов	3
+ PDF Chat	Blow-up phenomena in the model of a space charge stratification in semiconductors: numerical analysis of original equation reduction to a differential-algebraic system	2016	Д.В. Лукьяненко Alexander Anatolyevich Panin	3
+	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	3
+	A NUMERICAL AND THEORETICAL STUDY OF BLOW-UP FOR A SYSTEM OF ORDINARY DIFFERENTIAL EQUATIONS USING THE SUNDMAN TRANSFORMATION	2007	Ronald D. Haynes Colin Turner	3
+	Local Solvability and Decay of the Solution of an Equation with Quadratic Noncoercive Nonlineatity	2017	М. О. Корпусов D. V. Lukyanenko E. A. Ovsyannikov Alexander Anatolyevich Panin	3
+	Some Nonexistence Results for Quasilinear Elliptic Problems	2000	Е. И. Галахов	3
+ PDF Chat	Blow up of solutions of the Cauchy problem for a wave equation with nonlinear damping and source terms and positive initial energy	2000	Howard A. Levine Grozdena Todorova	2
+ PDF Chat	Behavior of maximally defined solutions of a nonlinear Volterra equation	1977	Terry L. Herdman	2
+ PDF Chat	Volterra Integral and Functional Equations	1990	Gustaf Gripenberg Stig–Olof Londen Olof J. Staffans	2
+	Volterra Integral and Differential Equations	1983	T. A. Burton	2
+	Collocation Methods for Volterra Integral and Related Functional Differential Equations	2004	Hermann Brunner	2
+	Numerical solution of fast diffusion or slow diffusion equations	1998	Marie-Noëlle Le Roux	2
+	Conditions for blow-up of solutions of some nonlinear Volterra integral equations	2006	Tomasz Małolepszy W. Okrasiński	2
+	Blowing up behavior for a class of nonlinear VIEs connected with parabolic PDEs	2008	Francesco Calabrò Giovanni Capobianco	2
+	Global Nonexistence for Abstract Evolution Equations with Positive Initial Energy	1998	Patrizia Pucci James Serrin	2
+	Nonlinear Parabolic and Elliptic Equations	1993	C. V. Pao	2
+	Analysis of explosion for nonlinear Volterra equations	1998	Catherine Roberts	2