Results 71 to 80 of about 3,753 (167)

On strongly nonlinear parabolic equations

Journal of Functional Analysis, 1971
AbstractThe initial-value problem dudt + A(u) = ƒ; u(0) = 0, where A is a nonlinear coercive operator mapping X into Y∗ is considered. X and Y are two reflexive Banach spaces and A is assumed to satisfy some weak continuity properties.The results give the existence of Hopf's solution of the Navier-Stokes equations as well as solutions of equations of ...
openaire   +2 more sources

The Influence of Non-Isothermal Conditions on Pressure Head Jumps in the Nonlinear Consolidation Problem in the Presence of Geobarriers

Journal of Optimization, Differential Equations and Their Applications
A nonlinear boundary value problem is considered for a system of parabolic equations in an inhomogeneous region, that requires conjugation conditions.
Olha R. Michuta, Petro M. Martyniuk, Nataliia V. Ivanchuk, Mykhailo V. Boichura   +3 more
doaj   +1 more source

Necessary conditions for control of objects with distributed constants

Sistemnì Doslìdženâ ta Informacìjnì Tehnologìï, 2019
Problems of optimal control over objects with distributed constants described by nonlinear differential equations with partial derivatives of elliptic, parabolic and hyperbolic types have been considered.
G. Iovane, V. M. Mizernyy
doaj  

On forced periodic solutions of superlinear quasi-parabolic problems

Electronic Journal of Differential Equations, 1998
We study the existence of periodic solutions for a class of quasi-parabolic equations involving the p-Laplacian (or any other nonlinear operators of similar class) perturbed by nonlinear terms and forced by rather irregular periodic in time excitations ...
Jose Luiz Boldrini, Janete Crema
doaj  

A novel approach to construct optical solitons solutions of complex Ginzburg–Landau equation with five distinct forms of nonlinearities

Alexandria Engineering Journal
This paper presents a recently introduced innovative approach for analyzing closed-form solutions of nonlinear partial differential equations. While various methods exist for deriving closed-form solutions to many nonlinear evolution equations ...
F. Gassem, Osman Osman, Faez Alqarni, Khaled Aldwoah, Fathea M. Osman Birkea, Manel Hleili   +5 more
doaj   +1 more source

A nonlinear parabolic-Sobolev equation

Journal of Mathematical Analysis and Applications, 1975
AbstractLet M and L be (nonlinear) operators in a reflexive Banach space B for which Rg(M + L) = B and ¦(Mx − My) + α(Lx − Ly)¦ ⩾ | mx − My | for all α > 0 and pairs x, y in D(M) ∩ D(L). Then there is a unique solution of the Cauchy problem (Mu(t))′ + Lu(t) = 0, Mu(0) = v0.
openaire   +1 more source

Lower bounds for the blow-up time of nonlinear parabolic problems with Robin boundary conditions

Electronic Journal of Differential Equations, 2014
In this article, we find a lower bound for the blow-up time of solutions to some nonlinear parabolic equations under Robin boundary conditions in bounded domains of R^n.
Khadijeh Baghaei, Mahmoud Hesaaraki
doaj  

Curvature conditions, Liouville-type theorems and Harnack inequalities for a nonlinear parabolic equation on smooth metric measure spaces

Advanced Nonlinear Studies
In this paper we prove gradient estimates of both elliptic and parabolic types, specifically, of Souplet-Zhang, Hamilton and Li-Yau types for positive smooth solutions to a class of nonlinear parabolic equations involving the Witten or drifting Laplacian
Taheri Ali, Vahidifar Vahideh
doaj   +1 more source

Hazardous Continuation Backward in Time in Nonlinear Parabolic Equations, and an Experiment in Deblurring Nonlinearly Blurred Imagery. [PDF]

J Res Natl Inst Stand Technol, 2013
Carasso AS.
europepmc   +1 more source

Renormalized solutions for nonlinear parabolic equations with general measure data

Electronic Journal of Differential Equations, 2018
We prove the existence of parabolic initial boundary value problems of the type $$\displaylines{ u_t-\text{div}(a_{\epsilon}(t,x,u_{\epsilon},\nabla u_{\epsilon})) =\mu_{\epsilon}\quad\text{in }Q:=(0,T)\times\Omega,\cr u_{\epsilon}=0\quad\text{on }(0,
Mohammed Abdellaoui, Elhoussine Azroul
doaj