On almost periodic viscosity solutions to Hamilton-Jacobi equations Evgeniy Panov, Department of Mathematics, Novgorod State University Abstract We prove the existence and uniqueness of Bohr almost periodic viscosity solution of the Cauchy problem for a Hamilton-Jacobi equation with merely continuous hamiltonian. It is also shown that the additive subgroup generated by the spectrum of the solution does not increase in time. In the case of single space variable and non-degenerate hamiltonian we also prove the long time decay property of almost periodic viscosity solutions.
On almost periodic viscosity solutions to Hamilton ...
Abstract. We prove the existence and uniqueness of Bohr almost periodic vis- cosity solution of the Cauchy problem for a Hamilton-Jacobi equation with merely ...
classes of nonautonomous stochastic evolution equations with finite delay. 1. ... and obtain the existence of square-mean almost periodic solutions to the class of.
a Department of Mathematics, Faculty of Sciences Semlalia, B.P. 2390, Marrakesh, Morocco b Department of Mathematics, Howard University, 2441 6th Street NW, Washington, DC 20059, USA. a r t i c l e. i n f o. a b s t r a c t. Article history: Received
+1 202 806 7123; fax: +1 202 806 6831. ... existence of almost periodic solutions to the class of nonautonomous n-order differential equations with operator ...
Sep 25, 2008 - To the best of our knowledge, the main result of this paper (Theorem 3.5) ...... proof by using the Lebesgue's dominated convergence theorem.
u(t) + f (t,B(t)u(t)) = A(t)u(t) + g(t,C(t)u(t)), t â R,. (1.2). â. Tel.: +1 202 806 ... are weighted pseudo-almost periodic in t â R uniformly in the second variable.
Jan 1, 2008 - http://www.informaworld.com/smpp/title~content=t713644738 ... re-distribution, re-selling, loan or sub-licensing, systematic supply or distribution in any ..... Definition 5.2. w 2 Cٽ0, Tٹ آ M2٠is a viscosity sub-solution of the.
Xu, Li, On the Painleve Integrability, Periodic Wave S ... upled Higher-Order Nonlinear Schrodinger Equations.pdf. Xu, Li, On the Painleve Integrability, Periodic ...
region U will be stated in the next section. The main purpose of this paper is to prove the following convergence result. (periodic homogenization):. Theorem 1.1.
African Diaspora Journal of Mathematics. Special Issue in Memory of Prof. Ibni Oumar Mahamat Saleh. Volume 8, Number 2, pp. 90â99 (2009). ISSN 1539-854X.
Mar 16, 2010 - Email addresses: [email protected] (D.C. Antonopoulos), .... (C3) and use the numerical code to study the evolution that ensues from an.
A function u(t,x) in Lip([0,T) Ã Rn) is called a Lipschitz solution of. Problem (1.1)â(1.2) if u(t,x) satisfies (1.1) almost everywhere in and u(0,x)= (x) for all x â Rn . We give here a brief presentation of method of characteristics of the Cau
on bounded domains. ... Ï1(0, ·) = Ï2(0, ·) in RN , we can check that the family {uR}R>R is uniformly ... To check the equi-continuity, fix any ε > 0 and choose a.
u0 which is different from (C1) but ensures the convergence of solutions of (1) to ... we prove that upper semi-periodicity of H guarantees the convergence of ...
Department of Mathematics, College of Education, Hue University, 3 LeLoi, Hue, Vietnam. Received 29 .... the condition (I.1) we see that all hypotheses of Lemma 2.2 [8] hold for the function. (t,x,y) = â{ (y) + ..... is backward, Indiana Univ. Math
Frobenius number of H, and we call g(H) the genus of H. We say that an integer x ... will denote by PF(H) the set of pseudo-Frobenius numbers of H, and its ...
of an Irish immigrant, Maggie O'Brien, whose life intertwines with members and workers of the historic Jekyll Island Club. Seeking a new Eden in America, she ...
May 20, 2017 - structure whatsoever, usually a regularization of the energy of the following type is ..... In particular the Fredholm alternative in the space C. 4,α.
The dissipated power and the viscosity of a suspension of such magnetic dipoles are cal- culated from non-equilibrium thermodynamics of magnetized systems. By means of this method ..... [10] M.C. Miguel, J.M. Rubà , Phys. Rev. E 51 (1995) ...
such that every interval of length l(ε) contains a number Ï with the property that âf (t + Ï) â f (t)â .... We now use the well-known convergence criterion of Cauchy.