Results 1 to 10 of about 15,297,882 (275)
On the iterative method for solution of direct and inverse problems for parabolic equations [PDF]
Известия Саратовского университета. Новая серия: Математика. Механика. Информатика, 2023 The paper is devoted to approximate methods for solution of direct and inverse problems for parabolic equations. An approximate method for the solution of the initial problem for multidimensional nonlinear parabolic equation is proposed.
Boykov, Il'ya V. +1 more
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The second initial-boundary value problem with integral displacement for second-order hyperbolic and parabolic equations [PDF]
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2021 In this paper, we study the solvability of some non-local analogs of the second initial-boundary value problem for multidimensional hyperbolic and parabolic equations of the second order.
Alexander I. Kozhanov +1 more
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Doubling Properties for Second Order Parabolic Equations [PDF]
The Annals of Mathematics, 1999 We prove the doubling property of L-caloric measure corresponding to the second order parabolic equation in the whole space and in Lipschitz domains. For parabolic equations in the divergence form, a weaker form of the doubling property follows easily from a recent result, the backward Harnack inequality, and known estimates of Green's function.
Safonov, Mikhail V., Yuan, Yu
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Non-local Problems with Integral Displacement for Highorder Parabolic Equations
Известия Иркутского государственного университета: Серия "Математика", 2021 The aim of this paper is to study the solvability of solutions of non-local problems with integral conditions in spatial variables for high-order linear parabolic equations in the classes of regular solutions (which have all the squared derivatives ...
A.I. Kozhanov, A.V. Dyuzheva
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Exact method to solve of linear heat transfer problems [PDF]
E3S Web of Conferences, 2021 When approximating multidimensional partial differential equations, the values of the grid functions from neighboring layers are taken from the previous time layer or approximation.
Abdullayev Akmaljon +2 more
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On the second-order regularity of solutions to the parabolic p-Laplace equation [PDF]
Journal of Evolution Equations, 2022 AbstractIn this paper, we study the second-order Sobolev regularity of solutions to the parabolic p-Laplace equation. For any p-parabolic function u, we show that $$D(\left| Du\right| ^{\frac{p-2+s}{2}}Du)$$ D ( D
Yawen Feng +2 more
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Carleman inequality for a class of super strong degenerate parabolic operators and applications
Electronic Journal of Qualitative Theory of Differential Equations, 2023 In this paper, we present a new Carleman estimate for the adjoint equations associated to a class of super strong degenerate parabolic linear problems. Our approach considers a standard geometric imposition on the control domain, which can not be removed
Bruno Sérgio Araújo +2 more
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Dirichlet’s problem for a third-order parabolic hyperbolic type equation of the second kind [PDF]
E3S Web of Conferences, 2023 Equations of mixed type, the degeneracy line of which is the envelope of a family of characteristics, therefore, is itself also a characteristic, in the literature it is customary to call equations of mixed type of the second kind, which causes ...
Abdullaev A. A. +2 more
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Journal of Kufa for Mathematics and Computer, 2013 In this paper we use the higher order differences for second order (derivative)  in solving parabolic partial delay differential equations by using the explicit method and we get results are more closer to the exact values than the results which can ...
Amal Khalaf Haydar
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Parabolic equations of the second order [PDF]
Transactions of the American Mathematical Society, 1959 from a unified point of view, namely, the extensive use of Green's function. Our main interest is concerned with the first mixed boundary problem (for definition, see ?4) for f linear or nonlinear in u, Harnack theorems, etc. Most of our methods are known. Green's function for the heat equation in rectangular domains was constructed already by E.
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