Д.В. Лукьяненко

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All published works

Action	Title	Year	Authors
+ 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
+ PDF Chat	Application of asymptotic analysis methods for solving a coefficient inverse problem for a system of nonlinear singularly perturbed reaction-diffusion equations with cubic nonlinearity	2019	Д.В. Лукьяненко A. A. Melnikova
+ 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
+ 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
+ PDF Chat	Regularized inversion of full tensor magnetic gradient data	2016	Я. Ван Д.В. Лукьяненко А.Г. Ягола
+	Восстановление ориентационной функции распределения частиц	2012	Н. А. Евдокимова Д.В. Лукьяненко А. Г. Ягола Н. А. Евдокимова D. V. Lukyanenko A. G. Yagola

Common Coauthors

Coauthor	Papers Together
Alexander Anatolyevich Panin	4
И.В. Пригорный	2
D. V. Lukyanenko	1
A. G. Yagola	1
А. Г. Ягола	1
Н. А. Евдокимова	1
Я. Ван	1
А.Г. Ягола	1
В.А. Васильченко	1
М. О. Корпусов	1
A. A. Melnikova	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	The occurrence of collapse for quasilinear equations of parabolic and hyperbolic types	1978	Varga Κ. Kalantarov O. A. Ladyzhenskaya	4
+ PDF Chat	Some general implicit processes for the numerical solution of differential equations	1963	H.H. Rosenbrock	4
+	Some nonexistence and instability theorems for solutions of formally parabolic equations of the form Put=−Au+ℱ(u)	1973	Howard A. Levine	4
+	Third-order nonlinear dispersive equations: Shocks, rarefaction, and blowup waves	2008	В. А. Галактионов Stanislav I. Pohožaev	4
+	Solving Ordinary Differential Equations II	1996	Ernst Hairer Gerhard Wanner	4
+	Numerical diagnosis of blow-up of solutions of pseudoparabolic equations	2007	A. B. Al’shin Elena Alshina	4
+	Rosenbrock schemes with complex coefficients for stiff and differential algebraic systems	2006	A. B. Al’shin Elena Alshina N. N. Kalitkin A. B. Koryagina	4
+	Blow-up of ion acoustic waves in a plasma	2011	М. О. Корпусов	4
+	Apriori estimates and blow-up of solutions to nonlinear partial differential equations and inequalities	2001	Enzo Mitidieri S. I. Pokhozhaev	4
+ PDF Chat	Blow up of incompressible Euler solutions	2008	Johan Hoffman Claes Johnson	3
+	Adaptivity and blow-up detection for nonlinear evolution problems	2015	Andrea Cangiani Emmanuil H. Georgoulis Irene Kyza Stephen Metcalfe	3
+	Instantaneous blow-up versus local solvability for one problem of propagation of nonlinear waves in semiconductors	2017	М. О. Корпусов D. V. Lukyanenko	3
+	A rescaling algorithm for the numerical calculation of blowing‐up solutions	1988	Marsha Berger Robert V. Kohn	3
+	Blow-Up in Nonlinear Equations of Mathematical Physics: Theory and Methods	2018	М. О. Корпусов Alexey Ovchinnikov А.Г. Свешников E. V. Yushkov	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
+ PDF Chat	Adaptivity and Blow-Up Detection for Nonlinear Evolution Problems	2016	Andrea Cangiani Emmanuil H. Georgoulis Irene Kyza Stephen Metcalfe	2
+	Blow-up for one Sobolev problem: Theoretical approach and numerical analysis	2016	М. О. Корпусов D. V. Lukyanenko Alexander Anatolyevich Panin E. V. Yushkov	2
+ PDF Chat	Instability and nonexistence of global solutions to nonlinear wave equations of the form 𝑃𝑢_{𝑡𝑡}=-𝐴𝑢+ℱ(𝓊)	1974	Howard A. Levine	2
+ 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	2
+	Numerical Methods for the Solution of Ill-Posed Problems	1995	А. Н. Тихонов A. V. Goncharsky В. В. Степанов A. G. Yagola	2
+	Regularization of incorrectly posed problems and the choice of regularization parameter	1966	В. А. Морозов	2
+	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	2
+	Critical exponents of instantaneous blow-up or local solubility of non-linear equations of Sobolev type	2015	М. О. Корпусов	2
+	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	2
+	Stability of the separable solution for fast diffusion	1980	James G. Berryman Charles J. Holland	2
+	Instantaneous blow-up versus local solubility of the Cauchy problem for a two-dimensional equation of a semiconductor with heating	2019	М. О. Корпусов А. Н. Панин	2
+	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	2
+	Numerical solution of fast diffusion or slow diffusion equations	1998	Marie-Noëlle Le Roux	2
+	On the general theory of operator semigroups	1994	G. A. Sviridyuk	2
+	Solving of the coefficient inverse problems for a nonlinear singularly perturbed reaction-diffusion-advection equation with the final time data	2017	D. V. Lukyanenko Maxim Shishlenin В. Т. Волков	1
+	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	1
+ PDF Chat	Dynamically Adapted Mesh Construction for the Efficient Numerical Solution of a Singular Perturbed Reaction-diffusion-advection Equation	2017	D. V. Lukyanenko В. Т. Волков Н. Н. Нефедов	1
+	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	1
+	Existence and Asymptotic Representation of the Autowave Solution of a System of Equations	2018	A. A. Melnikova M. Chen	1
+	Analytic–Numerical Investigation of Combustion in a Nonlinear Medium	2018	М. О. Корпусов D. V. Lukyanenko A. D. Nekrasov	1
+	Solving of the coefficient inverse problem for a nonlinear singularly perturbed two-dimensional reaction–diffusion equation with the location of moving front data	2018	D. V. Lukyanenko V.B. Grigorev В. Т. Волков Maxim Shishlenin	1
+	Analytical-Numerical Approach to Describing Time-Periodic Motion of Fronts in Singularly Perturbed Reaction–Advection–Diffusion Models	2019	В. Т. Волков D. V. Lukyanenko Н. Н. Нефедов	1
+ PDF Chat	Numerical solution of an ill-posed Cauchy problem for a quasilinear parabolic equation using a Carleman weight function	2016	Michael V. Klibanov Nikolay Koshev Jingzhi Li A. G. Yagola	1
+	Asymptotic analysis of solving an inverse boundary value problem for a nonlinear singularly perturbed time-periodic reaction-diffusion-advection equation	2019	D. V. Lukyanenko Maxim Shishlenin В. Т. Волков	1
+	Blow-up instability in non-linear wave models with distributed parameters	2019	М. О. Корпусов E. A. Ovsyannikov	1
+	TWO-DIMENSIONAL ANALOGS OF THE EQUATIONS OF GELFAND, LEVITAN, KREIN, AND MARCHENKO	2015	Sergey Kabanikhin Maxim Shishlenin	1
+	Elements of the Theory of Functions and Functional Analysis	1961	Andrej Nikolaevich Kolmogorov Sergey Fomin	1
+ PDF Chat	Convergent numerical methods for parabolic equations with reversed time via a new Carleman estimate	2019	Michael V. Klibanov A. G. Yagola	1
+ 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	1
+	Application of multiprocessor systems to solving the two-dimensional convolution-type Fredholm integral equations of the first kind for vector-functions	2009	Н. А. Евдокимова D. V. Lukyanenko A. G. Yagola	1
+	Regularization of Ill-Posed Problems.	1978	C. W. Groetsch	1
+	Boundary control and Gel'fand–Levitan–Krein methods in inverse acoustic problem	2004	Sergey Kabanikhin Maxim Shishlenin	1
+	Integral Equations of First Kind	1995	A. V. Bit︠s︡adze	1
+	Error Estimation in Ill-Posed Problems in Special Cases	2013	A. G. Yagola Yu. M. Korolev	1
+	Nonlinear Ill-Posed Problems	1998	А. Н. Тихонов A. S. Leonov A. G. Yagola	1