Results 101 to 110 of about 12,485 (201)

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  

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

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  

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  

Non-local quasi-linear parabolic equations

open access: yesRussian Mathematical Surveys, 2005
This is a survey of the most common approaches to quasi-linear parabolic evolution equations, a discussion of their advantages and drawbacks, and a presentation of an entirely new approach based on maximal regularity. The general results here apply, above all, to parabolic initial-boundary value problems that are non-local in time.
openaire   +2 more sources

Quasilinear Parabolic Evolution Equations [PDF]

open access: yes, 2016
Jan Prüss, Gieri Simonett
openaire   +1 more source

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