Results 1 to 10 of about 102,040 (246)

Nonlinear anisotropic parabolic equations in Lm

open access: yesArab Journal of Mathematical Sciences, 2014
In this paper, we give a result of regularity of weak solutions for a class of nonlinear anisotropic parabolic equations with lower-order term when the right-hand side is an Lm function, with m being ”small”.
Fares Mokhtari
doaj   +3 more sources

Nonlinear multidimensional parabolic-hyperbolic equations

open access: yesElectronic Journal of Differential Equations, 2007
This paper deals with the coupling of a quasilinear parabolic problem with a first order hyperbolic one in a multidimensional bounded domain $Omega$. In a region $Omega_{p}$ a diffusion-advection-reaction type equation is set while in the complementary ...
loria Aguilar   +2 more
doaj   +2 more sources

On the iterative method for solution of direct and inverse problems for parabolic equations [PDF]

open access: yesИзвестия 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
doaj   +1 more source

On the numerical solution of some differential equations with nonlocal integral boundary conditions via Haar wavelet [PDF]

open access: yesProceedings of the Estonian Academy of Sciences, 2022
Differential equations with nonlocal boundary conditions are used to model a number of physical phenomena encountered in situations where data on the boundary cannot be measured directly. This study explores numerical solutions to elliptic, parabolic and
Imran Aziz   +2 more
doaj   +1 more source

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

open access: yesKarpatsʹkì 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

open access: yesМатематичні 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
doaj   +1 more source

Almost Periodic Viscosity Solutions of Nonlinear Parabolic Equations

open access: yesBoundary 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

Approximation of elliptic and parabolic equations with Dirichlet boundary conditions

open access: yesMathematics in Engineering, 2023
We obtain an approximation result of the weak solutions to elliptic and parabolic equations with Dirichlet boundary conditions. We show that the weak solution can be obtained with a limit of approximations by regularizing the nonlinearities and ...
Youchan Kim, Seungjin Ryu, Pilsoo Shin
doaj   +1 more source

Riesz Potentials and Nonlinear Parabolic Equations [PDF]

open access: yesArchive for Rational Mechanics and Analysis, 2013
The spatial gradient of solutions to nonlinear degenerate parabolic equations can be pointwise estimated by the caloric Riesz potential of the right hand side datum, exactly as in the case of the heat equation.
T. Kuusi, MINGIONE, Giuseppe
openaire   +3 more sources

Remarks on a Nonlinear Parabolic Equation [PDF]

open access: yesTransactions of the American Mathematical Society, 1999
The equation u t = Δ u + μ | ∇ u | u_{t} =\Delta u +\mu |\nabla u | , μ ∈ R \mu \in \mathbb {R} , is studied in R
Ben-Artzi, Matania   +2 more
openaire   +1 more source

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