Results 101 to 110 of about 1,295,553 (207)

Unbounded Sturm attractors for quasilinear parabolic equations

open access: yes
Acuerdos transformativos CRUEWe analyse the asymptotic dynamics of quasilinear parabolic equations when solutions may grow up (i.e. blow up in infinite time).
Fernandes, Juliana   +1 more
core   +1 more source

Existence and Nonexistence of Global Solutions of the Quasilinear Parabolic Equations with Inhomogeneous Terms

open access: yesAdvances in Difference Equations, 2010
We consider the quasilinear parabolic equation with inhomogeneous term , , where , , , , and , . In this paper, we investigate the critical exponents of this equation.
Kobayashi Yasumaro
doaj  

Locally Invariant Manifolds for Quasilinear Parabolic Equations

open access: yesRocky Mountain Journal of Mathematics, 1991
The paper is concerned with the geometric study of an evolution equation of the form \(x'-Lx=f(t,\lambda,x)\), where \(L:D(L)\to X\) is the generator of a holomorphic semigroup and the nonlinearity \(f\) acts essentially from some interpolation space \(D_ L(\theta+1)\) to \(D_ L(\theta)\).
openaire   +2 more sources

Existence of solutions for quasilinear parabolic equations at resonance

open access: yesElectronic Journal of Differential Equations, 2013
In this article, we show the existence of nontrivial solutions for a class of quasilinear parabolic differential equations. To obtain the solution in a weighted Sobolev space, we use the Galerkin method, Brouwer's theorem, and a compact Sobolev-type ...
Gao Jia, Xiao-Juan Zhang, Li-Na Huang
doaj  

On the viscosity solutions of a stochastic differential utility problem [PDF]

open access: yes
We prove existence, uniqueness and gradient estimates of stochastic differential utility as a solution of the Cauchy problem for degenerate nonlinear partial differential equation.
Andrea Pascucci, Fabio Antonelli
core  

The effects of heat exchange and fluid production on the ignition of a porous solid

open access: yes, 2008
In this paper we study a system of nonlinear parabolic equations representing the evolution of small perturbations in a modeldescribing the combustion of a porous solid.
McIntosh, A.C.   +8 more
core   +1 more source

Explicit exponential decay bounds in quasilinear parabolic problems

open access: yesJournal of Inequalities and Applications, 1999
This paper deals with classical solutions of some initial boundary value problems involving the quasilinear parabolic equation where are given functions. In the case of one space variable, i.e.
Piro S Vernier, Philippin GA
doaj  

Research of Compatibility of the Redefined System for the Multidimensional Nonlinear Heat Equation (Special Case)

open access: yesИзвестия Иркутского государственного университета: Серия "Математика", 2016
In paper the multidimensional equation of nonlinear heat conductivity is investigated. This equation is presented in the form of the overdetermined system of the differential equations with partial derivatives (the number of the equations are more than ...
G. Rudykh, E. Semenov
doaj  

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