Strong solutions of quasilinear integro-differential equations with singular kernels in several space dimensions
$$ u_t - a*A(u) = f,,$$ where $a$ is a scalar singular integral kernel that behaves like $t^{-alpha}$, $1/2 leq alpha < 1$ and $A$ is a second order quasilinear elliptic operator in divergence form, solutions are found for which $A(u)$ is integrable over space and time.
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| Format: | Article |
| Language: | English |
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Texas State University
1995-02-01
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| Series: | Electronic Journal of Differential Equations |
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| Online Access: | http://ejde.math.txstate.edu/Volumes/1995/02/abstr.html |