Results 91 to 100 of about 12,475 (200)

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  

Comparative Characterization of Nonlinear Ultrasound Fields Generated by Sonalleve V1 and V2 MR-HIFU Systems. [PDF]

open access: yesIEEE Trans Ultrason Ferroelectr Freq Control, 2023
Karzova MM   +6 more
europepmc   +1 more source

On a quasilinear parabolic integrodifferential equation

open access: yesDifferential and Integral Equations, 1995
The author considers the nonlinear Volterra integrodifferential equation \(u_ t - a* \text{div} h(\text{grad} u) = a*g\), where \(x \in \mathbb{R}^ n\), \(t \geq 0\) and where the initial function \(u(0,x) = w(x)\) is given. The kernel \(a\) satisfies \(a \in L^ 1_{\text{loc}} (\mathbb{R}^ +)\) and the parabolic condition \(\text{Re}\widetilde a ...
openaire   +3 more sources

Holder continuity of bounded weak solutions to generalized parabolic p-Laplacian equations I: degenerate case

open access: yesElectronic Journal of Differential Equations, 2015
Here we generalize quasilinear parabolic p-Laplacian type equations to obtain the prototype equation $$ u_t - \hbox{div} \Big(\frac{g(|Du|)}{|Du|} Du\Big) = 0, $$ where g is a nonnegative, increasing, and continuous function trapped in between two
Sukjung Hwang, Gary M. Lieberman
doaj  

A Quasilinear Parabolic System with Nonlocal Boundary Condition

open access: yesBoundary Value Problems, 2011
We investigate the blow-up properties of the positive solutions to a quasilinear parabolic system with nonlocal boundary condition. We first give the criteria for finite time blowup or global existence, which shows the important influence of nonlocal ...
Mu Chunlai, Chen Botao, Mi Yongsheng
doaj  

Harnack's inequality for doubly nonlinear equations of slow diffusion type. [PDF]

open access: yesCalc Var Partial Differ Equ, 2021
Bögelein V   +3 more
europepmc   +1 more source

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