[PDF] Top 20 Asymptotic Behavior of Solutions of a Periodic Diffusion Equation

... weak solutions of this kind of degenerate parabolic equations see 7–9 , ...for periodic degeneracy parabolic equation, and most of the known results so far only concerned with the existence of ... See full document

... complicated asymptotic behavior of solutions for the Cauchy problem of the evolution p-Laplacian equation with ...complicated asymptotic behavior of the ... See full document

... the asymptotic behavior of the global solutions when V = V(x) is independent of ...fundamental solutions to the parabolic operators on the Euclidean space have explicit ...fundamental ... See full document

... metric solutions to general quasilinear PDEs and multi-valued physical observables to the semiclassical limit of the Schrödinger ...multi-valued solutions of the Monge-Ampère ...multi-valued ... See full document

... bilinear equation due to the appear- ance of two functions and two ...wave equation can be used to describe the propagation of ocean waves in shallow water and has been investigated in many literatures ... See full document

... A supersolution [or subsolution] is similarly defined with equality of (.) replaced by ≥ [or ≤]. The weak solutions for problem (.)-(.) can be defined in a similar way as above. It is well known that problem ... See full document

... that solutions with negative initial energy blow up in finite ...that solutions with negative energy continue to exist globally in time t if q ≥ r and blow up in finite time if q < r and the initial ... See full document

... Boussinesq equation admits both right- and left-running wave solutions while the well-known Korteweg- de-Vries one governs waves traveling in only one ... See full document

... -periodic solutions for λ ∈ (, λ ∗ ) and does not have any positive T -periodic solutions for λ > λ ∗ , where a(n), h(n), and τ (n) are T-periodic ...positive periodic ... See full document

... global solutions for this problem is proved by constructing the stable sets and shows the asymptotic stability of the global solutions as time goes to infinity by applying the multiplier ... See full document

... and asymptotic representation of solutions of such difference schemes are also of fundamental ...the solutions to be bounded or to converge to zero. Further, asymptotic formulae for the ... See full document

... and asymptotic behavior of solutions to hyperbolic- type equations has a long ...wave equation and [–] for various aspects of dissipation of the plate ...the solutions. Finally, we ... See full document

... In this paper, we not only give the asymptotic behavior at the origin for the maximum modulus of weak solutions of the stationary Schrödinger equation in a cone but also obtain the prope[r] ... See full document

... the asymptotic behavior (for ) of solutions of the Cauchy problem for a nonlinear parabolic equation with a double nonlinearity, describing the diffusion of heat with nonlinear heat ... See full document

... the solutions of the periodic problem ...of periodic solutions of ...maximal periodic solution of ...nonnegative solutions of the initial boundary value problem ... See full document

... numerical solutions of boundary value problems of partial differential equations often use a variety of finite difference or finite element formulations of differential equations, it is also quite common to convert ... See full document

... By a change of variables with cut-off functions, we study the existence and the asymptotic behavior of positive solutions for a general quasilinear Schrödinger equation which arises from plasma ... See full document

... Burgers equation and solve the initial value problem for ...the asymptotic behavior of solutions and we show that the exact solution of boundary value prob- lem for viscid Burgers ... See full document

... differential equation is reported in ...two-scale asymptotic method that allows us to obtain the secondary branches near the bifurcation points by superposing the bifurcating mode on the primary ...the ... See full document

... utilizes diffusion limit analysis to determine the behavior of a method for problems where the spatial cells are considered optically thick and ...accurate solutions in diffusive ... See full document