An H2N2 Interpolation for Caputo Derivative with Order in (1, 2) and Its Application to Time-Fractional Wave Equations in More Than One Space Dimension

Jinye Shen; Changpin Li; Zhi-zhong Sun

doi:10.1007/s10915-020-01219-8

An H2N2 Interpolation for Caputo Derivative with Order in (1, 2) and Its Application to Time-Fractional Wave Equations in More Than One Space Dimension

Journal of Scientific Computing ◽

10.1007/s10915-020-01219-8 ◽

2020 ◽

Vol 83 (2) ◽

Cited By ~ 1

Author(s):

Jinye Shen ◽

Changpin Li ◽

Zhi-zhong Sun

Keyword(s):

Caputo Derivative ◽

Wave Equations ◽

Space Dimension ◽

Fractional Wave Equations ◽

One Space Dimension

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The blow-up curve of solutions of mixed problems for semilinear wave equations with exponential nonlinearities in one space dimension, I

Calculus of Variations and Partial Differential Equations ◽

10.1007/pl00009924 ◽

2001 ◽

Vol 13 (1) ◽

pp. 69-95 ◽

Cited By ~ 3

Author(s):

Paul Godin

Keyword(s):

Wave Equations ◽

Space Dimension ◽

Blow Up ◽

Semilinear Wave Equations ◽

Mixed Problems ◽

One Space Dimension

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Blow up for a class of quasilinear wave equations in one space dimension

Mathematical Methods in the Applied Sciences ◽

10.1002/(sici)1099-1476(20000525)23:8<751::aid-mma138>3.0.co;2-u ◽

2000 ◽

Vol 23 (8) ◽

pp. 751-767

Author(s):

Yvan Martel

Keyword(s):

Wave Equations ◽

Space Dimension ◽

Blow Up ◽

Quasilinear Wave Equations ◽

One Space Dimension

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Remarks on a weighted energy estimate and its application to nonlinear wave equations in one space dimension

Journal of Differential Equations ◽

10.1016/j.jde.2013.09.005 ◽

2014 ◽

Vol 256 (2) ◽

pp. 389-406 ◽

Cited By ~ 4

Author(s):

Makoto Nakamura

Keyword(s):

Nonlinear Wave ◽

Wave Equations ◽

Space Dimension ◽

Energy Estimate ◽

Nonlinear Wave Equations ◽

Weighted Energy ◽

Weighted Energy Estimate ◽

One Space Dimension

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The lifespan of classical solutions of semilinear wave equations with spatial weights and compactly supported data in one space dimension

Journal of Differential Equations ◽

10.1016/j.jde.2021.10.062 ◽

2022 ◽

Vol 307 ◽

pp. 486-516

Author(s):

Shunsuke Kitamura ◽

Katsuaki Morisawa ◽

Hiroyuki Takamura

Keyword(s):

Wave Equations ◽

Space Dimension ◽

Classical Solutions ◽

Semilinear Wave Equations ◽

Compactly Supported ◽

Spatial Weights ◽

One Space Dimension

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Exact controllability for semilinear wave equations in one space dimension

Annales de l Institut Henri Poincaré C Analyse non linéaire ◽

10.1016/s0294-1449(16)30221-9 ◽

1993 ◽

Vol 10 (1) ◽

pp. 109-129 ◽

Cited By ~ 119

Author(s):

E. Zuazua

Keyword(s):

Wave Equations ◽

Space Dimension ◽

Exact Controllability ◽

Semilinear Wave Equations ◽

One Space Dimension

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On the energy decay for dissipative nonlinear wave equations in one space dimension

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2017.06.015 ◽

2017 ◽

Vol 455 (2) ◽

pp. 1317-1322 ◽

Cited By ~ 1

Author(s):

Kyouhei Wakasa ◽

Borislav Yordanov

Keyword(s):

Nonlinear Wave ◽

Wave Equations ◽

Space Dimension ◽

Energy Decay ◽

Nonlinear Wave Equations ◽

One Space Dimension

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The lifespan of solutions to wave equations with weighted nonlinear terms in one space dimension

Hokkaido Mathematical Journal ◽

10.14492/hokmj/1498788020 ◽

2017 ◽

Vol 46 (2) ◽

pp. 257-276 ◽

Cited By ~ 2

Author(s):

Kyouhei WAKASA

Keyword(s):

Wave Equations ◽

Space Dimension ◽

One Space Dimension

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The blow-up curve of solutions for semilinear wave equations with Dirichlet boundary conditions in one space dimension

The Role of Metrics in the Theory of Partial Differential Equations ◽

10.2969/aspm/08510359 ◽

2020 ◽

Author(s):

Tetsuya Ishiwata ◽

Takiko Sasaki

Keyword(s):

Boundary Conditions ◽

Wave Equations ◽

Space Dimension ◽

Dirichlet Boundary ◽

Blow Up ◽

Dirichlet Boundary Conditions ◽

Semilinear Wave Equations ◽

One Space Dimension

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Second order asymptotic expansion for wave equations with time-dependent dissipation in one-space dimension

Asymptotic Analysis for Nonlinear Dispersive and Wave Equations ◽

10.2969/aspm/08110401 ◽

2019 ◽

Author(s):

Yuta Wakasugi

Keyword(s):

Asymptotic Expansion ◽

Wave Equations ◽

Space Dimension ◽

Second Order ◽

Time Dependent ◽

One Space Dimension

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Global Existence and Blow-Up for Wave Equations with Weighted Nonlinear Terms in One Space Dimension

Interdisciplinary Information Sciences ◽

10.4036/iis.2013.143 ◽

2013 ◽

Vol 19 (2) ◽

pp. 143-148 ◽

Cited By ~ 1

Author(s):

Hideo KUBO ◽

Ayako OSAKA ◽

Muhammet YAZICI

Keyword(s):

Global Existence ◽

Wave Equations ◽

Space Dimension ◽

Blow Up ◽

One Space Dimension

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