Results 111 to 120 of about 953 (219)

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  

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  

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

On one-dimensional stochastic control problems: applications to investment models [PDF]

open access: yes, 2008
The paper provides a systematic way for finding a partial differential equation that characterize directly the optimal control, in the framework of one?dimensional stochastic control problems of Mayer, with no constraints on the controls.
Rincón-Zapatero, Juan Pablo   +1 more
core  

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  

OPTIMAL CONTROL OF INTENSITY OF WATER POINT SOURCES IN NONSATURATED POROUS MEDIUM

open access: yesМіжнародний науково-технічний журнал "Проблеми керування та інформатики"
Moisture transport through unsaturated porous medium with inserted point sources, described by Richards-Klute equation is a very complicated for calculations and unstable process.
С.І. Ляшко   +4 more
doaj   +1 more source

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  

The decomposition of a solution of the quasilinear stochastic parabolic equation with weak source

open access: yes, 2007
We obtain conditions which guarantee the existence of a decomposition of a solution of the quasilinear stochastic parabolic equation with a weak ...
Melnik, S.
core  

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