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Steady-State Solutions

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Blow-up Theories for Semilinear Parabolic Equations

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 2018))

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Abstract

When the solutions of (5.1)–(5.3), or (5.4)–(5.6) are independent of t, they are called steady-state solutions, or stationary solutions. These solutions are the possible limits as t→∞ of the corresponding time-dependent solutions if the time dependent solution is global. There is no panacea for their study. However, many methods were developed to study these types of systems.

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Correspondence to Bei Hu .

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Âİ 2011 Springer-Verlag Berlin Heidelberg

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Hu, B. (2011). Steady-State Solutions. In: Blow-up Theories for Semilinear Parabolic Equations. Lecture Notes in Mathematics(), vol 2018. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-18460-4_6

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