Results 11 to 20 of about 209,741 (271)

Stability of solutions for systems of delayed parabolic equations

Известия высших учебных заведений. Поволжский регион: Физико-математические науки, 2023
Background. The study is devoted to the analysis of stability in the sense Lyapunov steady state solutions for systems of linear parabolic equations with coefficients depending on time, and with delays depending on time.
Il'ya V. Boykov
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An approximation scheme for semilinear parabolic PDEs with convex and coercive Hamiltonians [PDF]

, 2019
We propose an approximation scheme for a class of semilinear parabolic equations that are convex and coercive in their gradients. Such equations arise often in pricing and portfolio management in incomplete markets and, more broadly, are directly ...
Huang, Shuo, Liang, Gechun, Zariphopoulou, Thaleia   +2 more
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L-Stable Block Backward Differentiation Formula for Parabolic Partial Differential Equations

Ain Shams Engineering Journal, 2016
In this paper, an L-stable Second Derivative Block Backward Differentiation Formula (SDBBDF) of order 5 is presented for the solutions of parabolic equations.
B.I. Akinnukawe, O.A. Akinfenwa, S.A. Okunuga   +2 more
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A striking correspondence between the dynamics generated by the vector fields and by the scalar parabolic equations [PDF]

, 2011
The purpose of this paper is to enhance a correspondence between the dynamics of the differential equations $\dot y(t)=g(y(t))$ on $\mathbb{R}^d$ and those of the parabolic equations $\dot u=\Delta u +f(x,u,\nabla u)$ on a bounded domain $\Omega$.
Abraham R., Angenent S. B., Angenent S. B., Angenent S. B., Anosov D. V., Arroyo A., Bendixson I., Bonatti C., Bonatti C., Bonatti C., Brunovský P., Brunovský P., Brunovský P., Brunovský P., Chen X.-Y., Crovisier S., Czaja R., Dancer E. N., Fiedler B., Fiedler B., Fiedler B., Fiedler B., Fiedler B., Fusco G., Fusco G., Fusco G., Fusco G., Galaktianov V. A., GENEVIÈVE RAUGEL, Ghrist R. W., Guckenheimer J., Hale J. K., Hale J. K., Hardt R., Hayashi S., Henry D., Henry D. B., Hirsch M. W., Hirsch M. W., Hirsch M. W., Hirsch M. W., Jolly M., Joly R., Joly R., Joly R., Mallet-Paret J., Matano H., Matano H., Matano H., Newhouse S. E., Nickel K., Nitecki Z., Palis J., Peixoto M. M., Peixoto M. M., Poláčik P., Poláčik P., Poláčik P., Poláčik P., Prizzi M., Pugh C. C., Pugh C. C., Pugh C. C., Pujals E. R., Robinson C., Robinson J. C., Rocha C., Rocha C., ROMAIN JOLY, Ruelle D., Sandstede B., Smale S., Smale S., Smale S., Smale S., Smillie J., Smith H. L., Smith H. L., Sturm C., Wolfrum M.   +79 more
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ON APPLYING THE CONTINUOUS OPERATOR METHOD TO SOLVE THE DIRECT PROBLEM FOR NONLINEAR PARABOLIC EQUATIONS

Известия высших учебных заведений. Поволжский регион: Физико-математические науки, 2020
Background. Parabolic differential equations of mathematical physics play very important role in mathematical modeling of the wide range of phenomena in physical and technical sciences.
I. V. Boykov, V. A. Ryazantsev
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Solvability and completeness of solutions of parabolic differential-operator equations [PDF]

Математичні Студії, 2011
We consider an abstract Cauchy problem for parabolic differential-operator equations in Hilbert spaces. Initial boundary value problems for parabolic equations are reduced to the Cauchy problem for a system of parabolic differential equations.
M. M. Mamedov
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On maximal parabolic regularity for non-autonomous parabolic operators [PDF]

, 2016
We consider linear inhomogeneous non-autonomous parabolic problems associated to sesquilinear forms, with discontinuous dependence of time. We show that for these problems, the property of maximal parabolic regularity can be extrapolated to time ...
A.F.M. ter Elst, Adams, Agmon, Alt, Amann, Amann, Amann, Amann, Arendt, Arendt, Arendt, Arendt, Auscher, Bergh, Brewster, Cannarsa, Casas, Clément, Dautray, De Simon, Denk, Disser, Disser, Disser, Dong, Dong, Dore, Dore, Dore, Egert, Egert, Elschner, Elschner, Evans, Fackler, Fackler, Gallarati, Grisvard, Grisvard, Gröger, Haller-Dintelmann, Haller-Dintelmann, Haller-Dintelmann, Haller-Dintelmann, Haller-Dintelmann, Hieber, Hömberg, Jerison, Joachim Rehberg, Jonsson, Karoline Disser, Krumbiegel, Kunisch, Köhne, Lamberton, Lang, Lions, Maz'ja, Morrey, Prüss, Prüss, Prüss, Schnaubelt, Sneiberg, Tamm, ter Elst, ter Elst, ter Elst, Triebel, Vignati, Weis, Zanger   +71 more
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Hypothesis on the Solvability of Parabolic Equations with nonlocal Condition

Nonlinear Analysis, 2002
Numerous and different nonlocal conditions for the solvability of parabolic equations were researched in many articles and reports. The article presented analyzes such conditions imposed, and observes that the existence and uniqueness of the solution of ...
Mifodijus Sapagovas
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Metastability for parabolic equations with drift: part II. The quasilinear case

, 2016
This is the second part of our series of papers on metastability results for parabolic equations with drift. The aim is to present a self-contained study, using partial differential equations methods, of the metastability properties of quasi-linear ...
Ishii, Hitoshi, Souganidis, Panagiotis E.   +1 more
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Qualitative analysis of solutions of parabolic type equations with nonlocal boundary conditions

Lietuvos Matematikos Rinkinys, 2010
The aim of the work is qualitative analysis of solutions of parabolic equations, non–negativity of solutions, investigation and modelling of physical parameters. All tasks were modelled using numerical analysis methods. Differential equations were solved
Jurij Novickij, Feliksas Ivanauskas
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