Results 61 to 70 of about 3,753 (167)
Parabolic equations with critical nonlinearities
Topological Methods in Nonlinear Analysis, 2003 The authors consider abstract semilinear evolutionary problems of the form \[ u_t+Au=F(u),\quad u(0)=u_0 \] with a positive definite selfadjoint operator \(A\) in a Hilbert space \(H\) and nonlinear term \(F.\) They study three examples of critical problems in which the nonlinearity has the same order of magnitude as the linear part.
Cholewa, Jan W., Dlotko, Tomasz
openaire +3 more sources
On a nonlinear compactness lemma in Lp(0,T;B)
International Journal of Mathematics and Mathematical Sciences, 2003 We consider a nonlinear counterpart of a compactness lemma of Simon (1987), which arises naturally in the study of doubly nonlinear equations of elliptic-parabolic type.
Emmanuel Maitre
doaj +1 more source
Demonstratio MathematicaThis study first establishes several maximum and minimum principles involving the nonlocal Monge-Ampère operator and the multi-term time-space fractional Caputo-Fabrizio derivative.
Guan Tingting, Wang Guotao, Araci Serkan
doaj +1 more source
Bounded solutions of nonlinear parabolic equations
Electronic Journal of Differential Equations, 2010 We are concerned with bounded solutions existing for all times for nonlinear parabolic equations with possibly nonlinear boundary conditions. A counterexample shows that, without an additional condition, a (weak) maximum principle does not hold for ...
Nsoki Mavinga, Mubenga N. Nkashama
doaj
On stability of nonlinear difference equations and some of their applications
Қарағанды университетінің хабаршысы. Математика сериясыThe issues of stability in solving nonlinear difference equations were considered. Based on a generalized difference analog of the well-known Bihari lemma, stability conditions for a trivial solution based on initial data were obtained, and an a priori ...
M.M. Aripov +3 more
doaj +1 more source
Nonlinear Parabolic Equation on Manifolds
Journal of Mathematics Research, 2014 In this work we investigate the existence and the uniqueness of solution for a nonlinear differential equation of parabolic type on the lateral boundary Σ of a cylinder Q, cf. ( 1).An important part of our study is to transform this initial value problem into another one whose differential operator equation is of the type 9), where k is a positive ...
Gladson O. Antunes +4 more
openaire +1 more source
A dynamical inverse problem for a parabolic equation [PDF]
Opuscula Mathematica, 2006 A problem of dynamical reconstruction of unknown distributed or boundary disturbances acting upon nonlinear parabolic equations is discussed. A regularized algorithm which allows us to reconstruct disturbances synchro with the process under consideration
Vyacheslav Maksimov
doaj
Positive Solutions of a Nonlinear Parabolic Partial Differential Equation
Abstract and Applied Analysis, 2014 We deal with the existence and uniqueness of positive solutions to a class of nonlinear parabolic partial differential equations, by using some fixed point theorems for mixed monotone operators with perturbation.
Chengbo Zhai, Shunyong Li
doaj +1 more source
Viscosity solutions of fully nonlinear functional parabolic PDE
International Journal of Mathematics and Mathematical Sciences, 2005 By the technique of coupled solutions, the notion of viscosity solutions is extended to fully nonlinear retarded parabolic equations. Such equations involve many models arising from optimal control theory, economy and finance, biology, and so forth.
Liu Wei-an, Lu Gang
doaj +1 more source
Numerical approximations of difference functional equations and applications [PDF]
Opuscula Mathematica, 2005 We give a theorem on the error estimate of approximate solutions for difference functional equations of the Volterra type. We apply this general result in the investigation of the stability of difference schemes generated by nonlinear first order partial
Zdzisław Kamont
doaj