Results 1 to 10 of about 209,691 (172)

Quasilinear Parabolic Equations Associated with Semilinear Parabolic Equations

Mathematics, 2023
We formulate a quasilinear parabolic equation describing the behavior of the global-in-time solution to a semilinear parabolic equation. We study this equation in accordance with the blow-up and quenching patterns of the solution to the original ...
Katsuyuki Ishii, Michel Pierre, Takashi Suzuki   +2 more
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On Degenerate Parabolic Equations [PDF]

International Journal of Mathematics and Mathematical Sciences, 2011
The paper deals with the existence of solutions of some generalized Stefan-type equation in the framework of Orlicz spaces.
Mohammed Kbiri Alaoui
doaj   +2 more sources

Existence and stability of traveling waves in parabolic systems of differential equations with weak diffusion

Karpatsʹkì Matematičnì Publìkacìï, 2022
The aim of the present paper is to investigate of some properties of periodic solutions of a nonlinear autonomous parabolic systems with a periodic condition.
I.I. Klevchuk
doaj   +1 more source

Initial-boundary value problem for higher-orders nonlinear elliptic-parabolic equations with variable exponents of the nonlinearity in unbounded domains without conditions at infinity

Математичні Студії, 2023
Initial-boundary value problems for parabolic and elliptic-parabolic (that is degenerated parabolic) equations in unbounded domains with respect to the spatial variables were studied by many authors.
M. M. Bokalo, O. V. Domanska
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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., Ryazantsev, Vladimir A.   +1 more
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Stability of Stochastic Partial Differential Equations

Axioms, 2023
In this paper, we study the stability of the stochastic parabolic differential equation with dependent coefficients. We consider the stability of an abstract Cauchy problem for the solution of certain stochastic parabolic differential equations in a ...
Allaberen Ashyralyev, Ülker Okur
doaj   +1 more source

Closed-form solutions of higher order parabolic equations in multiple dimensions: A reliable computational algorithm

Alexandria Engineering Journal, 2023
Parabolic equations play an important role in chemical engineering, vibration theory, particle diffusion and heat conduction. Solutions of such equations are required to analyze and predict changes in physical systems. Solutions of such equations require
Mubashir Qayyum, Amna Khan, Syed Tauseef Saeed, Ali Akgül, Muhammad Bilal Riaz   +4 more
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PARABOLIC EQUATIONS [PDF]

Proceedings of the National Academy of Sciences, 1957
Beweis zweier Sätze, die gestatten, auf die Stetigkeit der Lösungen parabolischer (elliptischer) Differentialgleichungen zu schließen, wenn die Lösung für \(t=0\) (auf dem Rande) beschränkt sein soll.
openaire   +2 more sources

Parabolic Minkowski convolutions of viscosity solutions to fully nonlinear equations [PDF]

, 2019
This paper is concerned with the Minkowski convolution of viscosity solutions of fully nonlinear parabolic equations. We adopt this convolution to compare viscosity solutions of initial-boundary value problems in different domains.
Ishige, Kazuhiro, Liu, Qing, Salani, Paolo   +2 more
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Almost Periodic Viscosity Solutions of Nonlinear Parabolic Equations

Boundary Value Problems, 2009
We generalize the comparison result 2007 on Hamilton-Jacobi equations to nonlinear parabolic equations, then by using Perron's method to study the existence and uniqueness of time almost periodic viscosity solutions of nonlinear parabolic equations ...
Shilin Zhang, Daxiong Piao
doaj   +2 more sources