Open AccessThe Local Strong Solutions and Global Weak Solutions for a Nonlinear Equation
Author(s) -
Meng Wu
Publication year - 2013
Publication title -
abstract and applied analysis
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.228
H-Index - 56
eISSN - 1687-0409
pISSN - 1085-3375
DOI - 10.1155/2013/619068
Subject(s) - materials science , algorithm , computer science
The existence and uniqueness of local strong solutions for a nonlinear equation are investigated in the Sobolev space C([0,T);Hs(R)) ∩C1([0,T);Hs-1(R)) provided that the initial value lies in Hs(R) with s>3/2. Meanwhile, we prove the existence of global weak solutions in L∞([0,∞);L2(R)) for the equation
Accelerating Research
Robert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom
Address
John Eccles HouseRobert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom