共查询到20条相似文献,搜索用时 15 毫秒
1.
We establish the global existence and decaying results for the Cauchy problem of nonlinear evolution equations:
(E) 相似文献
2.
Hiroyoshi Mitake 《NoDEA : Nonlinear Differential Equations and Applications》2008,15(3):347-362
We investigate the large-time behavior of viscosity solutions of the Cauchy-Dirichlet problem (CD) for Hamilton-Jacobi equations
on bounded domains. We establish general convergence results for viscosity solutions of (CD) by using the Aubry-Mather theory.
相似文献
3.
N. M. Ivochkina 《Journal of Fixed Point Theory and Applications》2008,4(1):47-56
We adapt to degenerate m-Hessian evolution equations the notion of m-approximate solutions introduced by N. Trudinger for m-Hessian elliptic equations, and we present close to necessary and sufficient conditions guaranteeing the existence and uniqueness
of such solutions for the first initial boundary value problem.
Dedicated to Professor Felix Browder 相似文献
4.
C. S. Scherer J. F. Prolo Filho L. B. Barichello 《Zeitschrift für Angewandte Mathematik und Physik (ZAMP)》2009,60(1):70-115
The ADO method, an analytical version of the discrete-ordinates method, is used to solve several classical problems in the
rarefied gas dynamics field. The complete development of the solution, which is analytical in terms of the spatial variable,
is presented in a way, such that, a wide class of kinetic models are considered, in an unified approach. A series of numerical
results are showed and different simulations are used in order to establish a general comparative analysis based on this consistent
set of results provided by the same methodology.
Received: July 10, 2007; revised: October 29/December 4, 2007 相似文献
5.
L. R. Volevich 《Journal of Fixed Point Theory and Applications》2007,1(2):293-304
The paper is devoted to the presentation of Leray’s approach to the Cauchy problem for strictly hyperbolic operators. In the
first section we give the main definitions of strictly hyperbolic operators and separating operators corresponding to them.
We present the plan of derivation of the a priori estimates necessary for the proof of solvability of the Cauchy problem.
In the second section we generalize the Leray approach to some classes of PDO which are not hyperbolic. 相似文献
6.
Dong-Gun Park Jin-Mun Jeong Han-Geul Kim 《NoDEA : Nonlinear Differential Equations and Applications》2009,16(2):235-253
In this paper we establish the wellposedness and regularity properties of solutions of Cauchy problems for semilinear hyperbolic
equations of second order with unbounded principal operators. An example illustrating how our results apply is given.
相似文献
7.
Conditions are found upon satisfaction of which the differential equation
相似文献
8.
Changjiang Zhu Zhian Wang 《Zeitschrift für Angewandte Mathematik und Physik (ZAMP)》2004,55(6):994-1014
In this paper, we study the global existence and the asymptotic behavior of the solutions to the Cauchy problem for the following nonlinear evolution equations with ellipticity and dissipative effects
9.
Suppose that
is a 0-symmetric convex body
which denes the usual norm
10.
Jorge García-Melián 《Zeitschrift für Angewandte Mathematik und Physik (ZAMP)》2009,60(4):594-607
In this paper we consider the boundary blow-up problem Δpu = a(x)uq in a smooth bounded domain Ω of , with u = +∞ on ∂Ω. Here is the well-known p-Laplacian operator with p > 1, q > p − 1, and a(x) is a nonnegative weight function which can be singular on ∂Ω. Our results include existence, uniqueness and exact boundary
behavior of positive solutions.
相似文献
11.
LiuHuizhao JiangDaqing 《高校应用数学学报(英文版)》1999,14(1):1-6
By coincidence degree, the existence of solution to the periodic boundary value problem of functional differential equations with perturbation 相似文献
12.
Nikolaos S. Papageorgiou Francesca Papalini Francesca Renzacci 《Rendiconti del Circolo Matematico di Palermo》1999,48(2):341-364
In this paper we consider nonlinear-dependent systems with multivalued perturbations in the framework of an evolution triple
of spaces. First we prove a surjectivity result for generalized pseudomonotone operators and then we establish two existence
theorems: the first for a periodic problem and the second for a Cauchy problem. As applications we work out in detail a periodic
nonlinear parabolic partial differential equation and an optimal control problem for a system driven by a nonlinear parabolic
equation. 相似文献
13.
Zhian Wang 《Zeitschrift für Angewandte Mathematik und Physik (ZAMP)》2006,57(3):399-418
We derive the optimal decay rates of solution to the Cauchy problem for a set of nonlinear evolution equations with ellipticity
and dissipative effects
14.
15.
Let 2 ≤ p < 100 be a rational prime and consider equation (3) in the title in integer unknowns x, y, n, k with x > 0, y > 1, n ≥ 3 prime, k ≥ 0 and gcd(x, y) = 1. Under the above conditions we give all solutions of the title equation (see the Theorem). We note that if in (3) gcd(x, y) = 1, our Theorem is an extension of several earlier results [15], [27], [2], [3], [5], [23].
Received: 25 April 2008 相似文献
16.
I. V. Shestakov 《Russian Mathematics (Iz VUZ)》2009,53(7):43-54
In this paper we consider the Cauchy problem as a typical example of ill-posed boundary-value problems. We obtain the necessary and (separately) sufficient conditions for the solvability of the Cauchy problem for a Dirac operator A in Sobolev spaces in a bounded domain D ? ? n with a piecewise smooth boundary. Namely, we reduce the Cauchy problem for the Dirac operator to the problem of harmonic extension from a smaller domain to a larger one. Moreover, along with the solvability conditions for the problem, using bases with double orthogonality, we construct a Carleman formula for recovering a function u in a Sobolev space H s (D), s ∈ ?, from its values on Γ and values Au in D, where Γ is an open connected subset of the boundary ?D. It is worth pointing out that we impose no assumptions about geometric properties of the domain D, except for its connectedness. 相似文献
17.
Djairo G. de Figueiredo João Marcos do Ó Bernhard Ruf 《Journal of Fixed Point Theory and Applications》2008,4(1):77-96
We establish a priori bounds for positive solutions of semilinear elliptic systems of the form
18.
19.
Pasquale Candito 《Rendiconti del Circolo Matematico di Palermo》2006,55(1):43-52
We use critical point theory to establish the existence of at least two solutions to a nonlinear Neumann problem involving
the one-dimensional p-Laplacian without assuming asymptotic conditions at infinity on the nonlinearity. 相似文献
20.
We obtain existence results for some strongly nonlinear Cauchy problems posed in
and having merely locally integrable data. The equations we deal with have as principal part a bounded, coercive and pseudomonotone
operator of Leray-Lions type acting on
, they contain absorbing zero order terms and possibly include first order terms with natural growth. For any p > 1 and under
optimal growth conditions on the zero order terms, we derive suitable local a-priori estimates and consequent global existence
results. 相似文献
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