Results 81 to 90 of about 1,364,487 (206)

A stability result for an inverse problem related to a quasilinear parabolic equation

, 1997
We study the stability of an unknown nonlinear term in a quasilinear parabolic equation arising in combustion theory. Choosing suitable spaces for data and nonlinear terms, we can show that the mapping data → nonlinear term is Hölder ...
GATTI, Stefania, S. GATTI
core   +1 more source

ON THE GLOBAL EXISTENCE OF SOLUTIONS TO QUASILINEAR PARABOLIC EQUATIONS [PDF]

Glasgow Mathematical Journal, 2004
The subject of the paper is the following quasilinear parabolic problem (P): \[ u_t - \text{div\,} (a(t,x,u) \nabla u) = f(t,x,u, \nabla u) \qquad \text{for} \quad t>0, \; x \in \Omega, \] \[ u(t,x) = 0 \quad \text{for} \quad t>0, \; x \in \partial \Omega, \qquad u(0,x) = \varphi (x) \quad \text{for} \quad x \in \bar \Omega.
openaire   +1 more source

Resonance and Quasilinear Parabolic Partial Differential Equations

Journal of Differential Equations, 1993
For a certain quasilinear parabolic equation, the authors prove the existence of a weak periodic solution in an adequate Hilbert space under both resonance and nonresonance conditions. The results are obtained by using a Galerkin-type technique.
Lefton, L.E., Shapiro, V.L.
openaire   +2 more sources

Regularity of solutions of Degenerate Quasilinear Parabolic Equations (weighted case) [PDF]

, 1996
Встановлюється внутрішня гельдеровість розв'язків та похідних розв'язків за просторовими координатами для квазілінійного виродженого параболічного рівняння другого порядку.We establish the inner regularity of solutions and their derivatives with respect ...
Скрыпник, И.И.
core   +2 more sources

Development of attenuation and diffraction corrections for linear and nonlinear Rayleigh surface waves radiating from a uniform line source

AIP Advances, 2016
In recent studies with nonlinear Rayleigh surface waves, harmonic generation measurements have been successfully employed to characterize material damage and microstructural changes, and found to be sensitive to early stages of damage process.
Hyunjo Jeong, Shuzeng Zhang, Sungjong Cho, Xiongbing Li   +3 more
doaj   +1 more source

Weak generalized and numerical solution for a quasilinear pseudo-parabolic equation with nonlocal boundary condition [PDF]

, 2014
This paper investigates the one dimensional mixed problem with nonlocal boundary conditions for the quasilinear parabolic equation. Under some natural regularity and consistency conditions on the input data the existence uniqueness convergence of the ...
Bağlan, İrem Sakınç, Kanca, Fatma, Fatma Kanca, Irem Baglan, BAĞLAN, İREM   +4 more
core   +1 more source

Nonlinear multidimensional parabolic-hyperbolic equations

Electronic 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, Laurent Levi, Monique Madaune-Tort   +2 more
doaj  

An H¹-Galerkin method for a Stefan problem with a quasilinear parabolic equation in non-divergence form [PDF]

, 1987
Optimal error estimates in L2 H1 and H2-norms are established for a single phase Stefan problem with quasilinear parabolic equation in non-divergence form by an H1-Galerkin ...
Das, P. C., Pani, A. K.
core  

An existence result for an inverse problem for a quasilinear parabolic equation

, 1998
In this paper we are concerned with a quasilinear parabolic equation with nonhomogeneous Cauchy and Neumann conditions arising in combustion theory: by the Schauder fixed point theorem, we give a local existence result for the solution to an inverse ...
GATTI, Stefania
core   +1 more source

An inverse coefficient problem for quasilinear pseudo-parabolic of heat conduction of Poly(methyl methacrylate) (PMMA)

, 2020
In this research, we consider a coefficient problem of an inverse problem of a quasilinear pseudo-parabolic equation with periodic boundary condition.
Irem Baglan, Timur Canel
core   +1 more source