A nonlinear pseudoparabolic equation
1990 ◽
Vol 114
(1-2)
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pp. 119-133
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Keyword(s):
SynopsisThe authors prove results on uniqueness and global existence of initial and boundary value problems for the nonlinear pseudoparabolic equationwith nonhomogeneous boundary conditions. A salient feature of the paper is that F and its partial derivatives are allowed to be unbounded. In the special case b(x, t)= α2 (a positive constant), it is proved that the corresponding solution uα, under appropriate conditions on the data (which are satisfied, for example, by the Benjamin–Bona–Mahony equation), uα→ u0 the solution corresponding to β = 0, on sufficiently small time interval. A result on the asymptotic behaviour of the solution is given for t → ∞.
1984 ◽
Vol 68
(1-4)
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pp. 247-272
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Keyword(s):
1979 ◽
Vol 84
(1-2)
◽
pp. 35-54
Keyword(s):
2012 ◽
Vol 15
(03)
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pp. 1250016
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Keyword(s):
Keyword(s):
Keyword(s):
1967 ◽
Vol 20
(4)
◽
pp. 659-685
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2017 ◽
Vol 17
(06)
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pp. 1750043
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