Global smooth solutions for a class of parabolic integrodifferential equations
H Engler - Transactions of the American Mathematical Society, 1996 - ams.org
Transactions of the American Mathematical Society, 1996•ams.org
The existence and uniqueness of smooth global large data solutions of a class of
quasilinear partial integrodifferential equations in one space and one time dimension are
proved, if the integral kernel behaves like $ t^{-\alpha} $ near $ t= 0$ with $\alpha> 2/3$. An
existence and regularity theorem for linear equations with variable coefficients that are
related to this type is also proved in arbitrary space dimensions and with no restrictions for
$\alpha $. References
quasilinear partial integrodifferential equations in one space and one time dimension are
proved, if the integral kernel behaves like $ t^{-\alpha} $ near $ t= 0$ with $\alpha> 2/3$. An
existence and regularity theorem for linear equations with variable coefficients that are
related to this type is also proved in arbitrary space dimensions and with no restrictions for
$\alpha $. References
Abstract
The existence and uniqueness of smooth global large data solutions of a class of quasilinear partial integrodifferential equations in one space and one time dimension are proved, if the integral kernel behaves like near with . An existence and regularity theorem for linear equations with variable coefficients that are related to this type is also proved in arbitrary space dimensions and with no restrictions for . References
ams.org
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