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global existence and decay estimates for the semilinear heat equation with memory in rn
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نویسنده
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berbiche mohamed ,melik ammar
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منبع
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international journal of nonlinear analysis and applications - 2022 - دوره : 13 - شماره : 2 - صفحه:2271 -2285
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چکیده
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In this paper, we study the initial value problem for a semi-linear heat equation with memory in n-dimensional space r n. under a smallness conditions on the initial data, the global existence and decay estimates of the solutions are established. furthermore, time decay estimates in higher sobolev space of the solution are provided. the proof is carried out by means of the point-wise decay estimates of the solution in the fourier space and a fixed point-contraction mapping argument.
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کلیدواژه
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integro-partial differential equations ,global existence ,decay estimates
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آدرس
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university of biskra, laboratory of mathematical analysis, probability and optimizations, algeria, mohamed khider university, department of mathematics, algeria
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پست الکترونیکی
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melikammar39@gmail.com
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Authors
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