[PDF] Top 20 Remark on the Cauchy problem for the evolution p Laplacian equation
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Remark on the Cauchy problem for the evolution p Laplacian equation
... The rest of this paper is organized as follows. In the next section, we give some def- initions and some propositions of the solutions for the problem (.)-(.). Section is devoted to giving the propagation ... See full document
16
Complicated asymptotic behavior exponents for solutions of the evolution p-Laplacian equation with absorption
... the Cauchy problem of the evolution p-Laplacian equation with ...q–p+1 p is the critical exponent for the complicated asymptotic behavior of the ... See full document
14
Upper bounds for the decay rate in a nonlocal p-Laplacian evolution problem
... We also note that the convolution form of the equation allows the use of Fourier analysis to obtain this result. However, the use of Fourier analysis is not helpful here due to fact that our operator is not in ... See full document
10
Nonlocal impulsive fractional semilinear differential equations with almost sectorial operators
... fractional cauchy problems using almost sectorial operators and in [32], ...for cauchy problem for non-autonomous evolution equation, in which the operator in the linear part depends on ... See full document
11
Navier Stokes Equations—Millennium Prize Problems
... the problem of the smoothness of its so- ...the problem of describing turbulence remains ...the Cauchy problem for the Navi- er-Stokes equations: ... See full document
13
Nonlocal Cauchy Problem for Nonautonomous Fractional Evolution Equations
... nonautonomous evolution equations and related topics were studied in, for example, 6, 7, 10–20, and the nonlocal Cauchy problem was considered in, for example, 2, 5, 18, ... See full document
17
Existence of Mild Solutions to a Cauchy Problem Presented by Fractional Evolution Equation with an Integral Initial Condition
... fractional evolution equations is one of the developing branches of this ...fractional evolution equations, in some cases, have better effects in applications than traditional ones ...value problem ... See full document
9
Evolution of geometric properties on solution curve of KdV equation
... the Cauchy problem on the KdV equation by Lagrange coordinate, obtained the evolution consequence of monotonicity, concavity and the isolated extreme ... See full document
8
Extinction and decay estimates of solutions for a p-Laplacian evolution equation with nonlinear gradient source and absorption
... < p < . For the case λ = , Gu [] proved that if < p < or < q < , the solutions of the problem vanish in finite time, but if p ≥ and q ≥ , there is ...= p – ... See full document
17
The stability of evolutionary \(p(x)\)-Laplacian equation
... which comes from a new interesting kind of fluids: the so-called electrorheological fluids (see [, ]). Here, ⊂ R N is a bounded domain with smooth boundary ∂, p(x) is a mea- surable function, we assume that a(x) ... See full document
11
Global 1 Estimation of the Cauchy Problem Solutions to the Navier Stokes Equation
... Numerous studies of the Navier-Stokes equations have been devoted to the problem of the smoothness of its solu- tions. A good overview of these studies is given in [13]-[17]. The spatial differentiability of the ... See full document
11
On the existence of mild solutions to the Cauchy problem for a class of fractional evolution equation
... where 0 < q <1, the fractional derivative is understood in the Caputo sense, A is an almost sectorial operator on a complex Banach space, and f, h are given functions. We will use the theory of measure of ... See full document
16
Asymptotics for critical nonconvective type equations
... The aim of the present paper is to obtain the large-time asymptotic behavior of solu- tions to the Cauchy problem for the nonlinear evolution equations (1.1) in the critical case. Note that the ... See full document
29
Influence of weight functions to a nonlocal p Laplacian evolution equation with inner absorption and nonlocal boundary condition
... value problem for a nonlocal p-Laplacian evolution equation with an inner absorption and weighted linear nonlocal boundary and initial ... See full document
10
On the Lipschitz stability of inverse nodal problem for p-Laplacian Schrödinger equation with energy dependent potential
... the p-Laplacian Schrödinger equation with energy dependent potential have been studied in some works (for example, see []), just left stability problem is worth considering and undone for the ... See full document
8
On the periodic boundary value problem for Duffing type fractional differential equation with p-Laplacian operator
... q > is a constant such that /p + /q = . In the past few decades, many important results relative to (.) with certain boundary value conditions have been obtained. See the papers [–] and the ... See full document
11
Solvability of anti periodic boundary value problem for coupled system of fractional p Laplacian equation
... 1. Diethelm, K, Freed, AD: On the solution of nonlinear fractional order differential equations used in the modeling of viscoplasticity. In: Keilet, F, Mackens, W, Voß, F, Werther, J (eds.) Scientific Computing in Chemical ... See full document
11
A survey of partial differential equations with piecewise continuous arguments
... Partial differential equations, piecewise constant delay, boundary value problem, initial value problem, abstract Cauchy problem, Hilbert space, loaded equation, wave equation.. 1991 AMS[r] ... See full document
20
Positive solutions for boundary value problem of fractional differential equation with p-Laplacian operator
... u(0) = 0, u(1) + σ D γ 0+ u(1) = 0, D α 0+ u(0) = 0, (1:5) where D β 0+ , D α 0+ and D γ 0+ are the standard Riemann-Liouville derivative with 1 <a ≤ 2, 0 <b ≤ 1, 0 <g ≤ 1, 0 ≤ a - g - 1, the constant s is a ... See full document
20
Global Estimation of the Cauchy Problem Solutions’ the Navier Stokes Equation
... scattering problem with the Cauchy problem for the Navier-Stokes ...scattering problem, and this is then used to estimate of solutions of the Cauchy problem for the Navier-Stokes ... See full document
9
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