Geodesic
Existence of solutions to nonlinear parabolic problems with delay
Electronic journal of differential equations, Tome 2004 (2004)
We prove the existence and uniqueness of global solutions to semilinear parabolic equations with a nonlinear delay term. We study these problems in the whole space $\mathbb{R}^n$, obtain classic solutions, and give a mass decay result of the solution.
Classification : 35R10, 58F40
Keywords: nonlinear parabolic equation, delay, global existence, mass decay 
@article{EJDE_2004__2004__a64,
     author = {Hsu,  Deliang},
     title = {Existence of solutions to nonlinear parabolic problems with delay},
     journal = {Electronic journal of differential equations},
     year = {2004},
     volume = {2004},
     zbl = {1061.35154},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2004__2004__a64/}
}
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Hsu,  Deliang. Existence of solutions to nonlinear parabolic problems with delay. Electronic journal of differential equations, Tome 2004 (2004). http://geodesic.mathdoc.fr/item/EJDE_2004__2004__a64/