Initial-Boundary-Value Problem for a Semilinear Parabolic Equation with Nonlinear Nonlocal Boundary Conditions

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作者
A. L. Gladkov
T. V. Kavitova
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[1] Belorussian State University,
[2] Masherov Vitebsk State University,undefined
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We consider an initial-boundary-value problem for a semilinear parabolic equation with nonlinear nonlocal boundary conditions. We prove the principle of comparison, establish the existence of local solutions, and study the problem of uniqueness and nonuniqueness.
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页码:179 / 192
页数:13
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