Time-weighted blow-up profiles in a nonlinear parabolic system with Fujita exponent

Du, Yini; Liu, Bingchen

doi:10.1016/j.camwa.2018.05.039

Computers & Mathematics with Applications

2018

DOI: 10.1016/j.camwa.2018.05.039

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Time-weighted blow-up profiles in a nonlinear parabolic system with Fujita exponent

Yini Du¹,

Bingchen Liu²

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Cited by 8 publications

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“…We also refer the interested readers to the works [11][12][13][14] for some other semilinear parabolic equations and the works [15][16][17][18][19] for the quasilinear equations.…”

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confidence: 99%

Fujita exponents for an inhomogeneous parabolic equation with variable coefficients

Sun

Liu

2022

Math Methods in App Sciences

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This paper deals with a Cauchy problem of the inhomogeneous parabolic, where constants γ > 0, p > 1, and σ > À 1. The Japanese brackets hxi γ :¼; wð ≥ , ≢ 0Þ and the initial data are continuous functions in R N . We determine the Fujita exponent for global and non-global solutions of the problem, depending strictly on N, γ and σ, which complete the ones for the nonnegative solutions in J. Math. Anal. Appl. 251 (2000) 624-648 for N ¼ 1, 2. It is so interesting that the inhomogeneous term leads to the discontinuity of this critical exponent with respect to σ at zero.

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“…We also refer the interested readers to the works [11][12][13][14] for some other semilinear parabolic equations and the works [15][16][17][18][19] for the quasilinear equations.…”

mentioning

confidence: 99%

Fujita exponents for an inhomogeneous parabolic equation with variable coefficients

Sun

Liu

2022

Math Methods in App Sciences

Self Cite

View full text Add to dashboard Cite

show abstract

Fujita blow-up solutions for a Dirichlet problem of parabolic equations with variable coefficients

Liu

2022

J. Appl. Math. Comput.

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Blow-up solutions in a Cauchy problem of parabolic equations with spatial coefficients

Liu

Xia

2021

Bull. Iran. Math. Soc.

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Time-weighted blow-up profiles in a nonlinear parabolic system with Fujita exponent

Cited by 8 publications

References 20 publications

Fujita exponents for an inhomogeneous parabolic equation with variable coefficients

Fujita exponents for an inhomogeneous parabolic equation with variable coefficients

Fujita blow-up solutions for a Dirichlet problem of parabolic equations with variable coefficients

Blow-up solutions in a Cauchy problem of parabolic equations with spatial coefficients

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