Existence, uniqueness and behaviour of solutions for a nonlinear diffusion equation with third type boundary value condition (Q900706)
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scientific article; zbMATH DE number 6523662
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Existence, uniqueness and behaviour of solutions for a nonlinear diffusion equation with third type boundary value condition |
scientific article; zbMATH DE number 6523662 |
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Existence, uniqueness and behaviour of solutions for a nonlinear diffusion equation with third type boundary value condition (English)
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22 December 2015
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By means of standard techniques, the authors show existence and uniqueness results for the initial value problem with Robin boundary condition for the equation \[ \dfrac{\partial u}{\partial t}-\Delta u+g(x,t,u)+e(x,t)\|u\|_{L^2(\Omega)}(t)=h(x,t). \]
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nonlinear diffusion equations
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Robin boundary condition
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non-local effect
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existence and uniqueness
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behavior of solution
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absorbing set
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