Unbounded solutions of a nonlinear parabolic equation |
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| Authors: | I M Nikol’skii |
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| Institution: | 1. Faculty of Computational Mathematics and Cybernetics, Moscow State University, Moscow, Russia
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| Abstract: | The article investigates the equation
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$ {u_t}{\text{ = }}{\left( {u{u_x}} \right)_x}{\text{ + }}\left( {u - {u_0}} \right)\left( {u - {u_1}} \right){\text{,}}\quad \quad {u_1} > {u_0} > 0. $ {u_t}{\text{ = }}{\left( {u{u_x}} \right)_x}{\text{ + }}\left( {u - {u_0}} \right)\left( {u - {u_1}} \right){\text{,}}\quad \quad {u_1} > {u_0} > 0. |
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