L1-maximal regularity for quasilinear second order differential equation with damped term
نویسندگان
چکیده
منابع مشابه
Regularity for Quasilinear Second-Order Subelliptic Equations
In this paper, we study the regularity of solutions of the quasilinear equation where X = ( X , ; . . , X , , , ) is a system of real smooth vector fields, A i j , B E Cw(Q x R m + l ) . Assume that X satisfies the Hormander condition and ( A , , ( x , z , c ) ) is positive definite. We prove that if u E S2@(Q) (see Section 2) is a solution of the above equation, then u E Cw(Q). Introduction In...
متن کاملOn Fuzzy Solution for Exact Second Order Fuzzy Differential Equation
In the present paper, the analytical solution for an exact second order fuzzy initial value problem under generalized Hukuhara differentiability is obtained. First the solution of first order linear fuzzy differential equation under generalized Hukuhara differentiability is investigated using integration factor methods in two cases. The second based on the type of generalized Hukuhara different...
متن کاملA RESEARCH NOTE ON THE SECOND ORDER DIFFERENTIAL EQUATION
Let U(t, ) be solution of the Dirichlet problem y''+( t-q(t))y= 0 - 1 t l y(-l)= 0 = y(x), with variabIe t on (-1, x), for fixed x, which satisfies the initial condition U(-1, )=0 , (-1, )=1. In this paper, the asymptotic representation of the corresponding eigenfunctions of the eigen values has been investigated . Furthermore, the leading term of the asymptotic formula for ...
متن کاملKamenev-type Oscillation Criteria for Second-order Quasilinear Differential Equations
We obtain Kamenev-type oscillation criteria for the second-order quasilinear differential equation (r(t)|y′(t)|α−1y′(t))′ + p(t)|y(t)|β−1y(t) = 0 . The criteria obtained extend the integral averaging technique and include earlier results due to Kamenev, Philos and Wong.
متن کاملQuasilinear parabolic problems via maximal regularity
We use maximal Lp regularity to study quasilinear parabolic evolution equations. In contrast to all previous work we only assume that the nonlinearities are defined on the space in which the solution is sought for. It is shown that there exists a unique maximal solution depending continuously on all data, and criteria for global existence are given as well. These general results possess numerou...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Electronic Journal of Qualitative Theory of Differential Equations
سال: 2015
ISSN: 1417-3875
DOI: 10.14232/ejqtde.2015.1.39