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On a Mixed Quasilinear Nonlocal Problem With Integral Condition for a Second Order Parabolic Equation. |
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PP: 67-74 |
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Author(s) |
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A. Memou,
M. Denche,
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Abstract |
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| We prove the existence and uniqueness of a strong solution for a parabolic equation with integral boundary conditions. The
proof uses a priori estimate and the density of the range of the operator generated by the problem considered by applying an iterative
process based on the obtained results for the linear problem, we establish the existence and uniqueness of the weak solution of the
nonlinear problem. |
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