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Parabolic PDEs

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A Compact Course on Linear PDEs

Part of the book series: UNITEXT ((UNITEXTMAT,volume 126))

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Abstract

Parabolic equations are equations of the form

$$\displaystyle \frac {\partial u}{\partial t} + Lu=f \quad \text{ in } D\times (0,T) \, , $$

where L is an elliptic operator, whose coefficients can depend on t.

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References

  1. Dautray, R., Lions, J.-L.: Mathematical Analysis and Numerical Methods for Science and Technology, vol. 2. Springer, Berlin (1988)

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  2. Dautray, R., Lions, J.-L.: Mathematical Analysis and Numerical Methods for Science and Technology, vol. 5. Springer, Berlin (1992)

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  4. Yosida, K.: Functional Analysis, 4th edn. Springer, Berlin (1974)

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Valli, A. (2020). Parabolic PDEs. In: A Compact Course on Linear PDEs. UNITEXT(), vol 126. Springer, Cham. https://doi.org/10.1007/978-3-030-58205-0_9

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