Nonexistence results of solutions of parabolic-type equations and systems on the Heisenberg group

Wei Shi

doi:10.1186/s13661-023-01714-5

Nonexistence results of solutions of parabolic-type equations and systems on the Heisenberg group

Wei Shi^*

^*Corresponding author for this work

School of Education

Research output: Contribution to journal › Article › peer-review

Abstract

In this paper, we present necessary conditions for the existence of weak solution of the parabolic-type equations and systems on the Heisenberg group. The main technique for proving the results relies on the method of test functions.

Original language	English
Article number	29
Journal	Boundary Value Problems
Volume	2023
Issue number	1
DOIs	https://doi.org/10.1186/s13661-023-01714-5
Publication status	Published - Dec 2023

Keywords

Heisenberg group
Nonlinear parabolic equations
Pseudo parabolic-type systems

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10.1186/s13661-023-01714-5

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title = "Nonexistence results of solutions of parabolic-type equations and systems on the Heisenberg group",

abstract = "In this paper, we present necessary conditions for the existence of weak solution of the parabolic-type equations and systems on the Heisenberg group. The main technique for proving the results relies on the method of test functions.",

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KW - Nonlinear parabolic equations

KW - Pseudo parabolic-type systems

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Nonexistence results of solutions of parabolic-type equations and systems on the Heisenberg group

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Keywords

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