On the domain characterization of fractional powers of certain operator matrices generating analytic semigroups

András Bátkai

doi:10.1556/sscmath.40.2003.3.6

On the domain characterization of fractional powers of certain operator matrices generating analytic semigroups

Studia Scientiarum Mathematicarum Hungarica ◽

10.1556/sscmath.40.2003.3.6 ◽

2003 ◽

Vol 40 (3) ◽

pp. 327-340

Author(s):

András Bátkai

Keyword(s):

Wave Equations ◽

Analytic Semigroups ◽

Operator Matrices ◽

Fractional Powers ◽

Semilinear Wave Equations ◽

Equations With Delay

We characterize the domains of fractional powers of some operator matrices generating analytic semigroups. The results are applied to wave equations with delay and semilinear wave equations.

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On heatlike lifespan of solutions of semilinear wave equations in Friedmann-Lemaître-Robertson-Walker spacetime

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2021.125133 ◽

2021 ◽

pp. 125133

Author(s):

Kimitoshi Tsutaya ◽

Yuta Wakasugi

Keyword(s):

Wave Equations ◽

Semilinear Wave Equations

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Concerning ill-posedness for semilinear wave equations

Calculus of Variations and Partial Differential Equations ◽

10.1007/s00526-020-01899-y ◽

2021 ◽

Vol 60 (1) ◽

Author(s):

Mengyun Liu ◽

Chengbo Wang

Keyword(s):

Wave Equations ◽

Semilinear Wave Equations

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Erratum: “A characterization of causal automorphisms by wave equations” [J. Math. Phys. 53, 032507 (2012)]

Journal of Mathematical Physics ◽

10.1063/1.4811852 ◽

2013 ◽

Vol 54 (7) ◽

pp. 079901 ◽

Cited By ~ 1

Author(s):

Min Kyu Kim ◽

Do-Hyung Kim

Keyword(s):

Wave Equations ◽

Math Phys

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Oscillatory phenomena associated to semilinear wave equations in one spatial dimension

Transactions of the American Mathematical Society ◽

10.1090/s0002-9947-1987-0871673-2 ◽

1987 ◽

Vol 300 (1) ◽

pp. 207-207 ◽

Cited By ~ 13

Author(s):

T. Cazenave ◽

A. Haraux

Keyword(s):

Wave Equations ◽

Spatial Dimension ◽

Semilinear Wave Equations

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Existence, blow-up, and exponential decay estimates for a system of semilinear wave equations associated with the helicalflows of Maxwell fluid

Mathematical Methods in the Applied Sciences ◽

10.1002/mma.3643 ◽

2015 ◽

Vol 39 (9) ◽

pp. 2334-2357

Author(s):

Le Thi Phuong Ngoc ◽

Cao Huu Hoa ◽

Nguyen Thanh Long

Keyword(s):

Exponential Decay ◽

Wave Equations ◽

Blow Up ◽

Maxwell Fluid ◽

Decay Estimates ◽

Semilinear Wave Equations

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Life-Span of Solutions to Critical Semilinear Wave Equations

Communications in Partial Differential Equations ◽

10.1080/03605302.2013.863914 ◽

2014 ◽

Vol 39 (3) ◽

pp. 439-451 ◽

Cited By ~ 24

Author(s):

Yi Zhou ◽

Wei Han

Keyword(s):

Life Span ◽

Wave Equations ◽

Semilinear Wave Equations

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On self-similar solutions of semilinear wave equations in higher space dimensions

Applied Mathematics and Computation ◽

10.1016/j.amc.2011.04.039 ◽

2011 ◽

Vol 217 (22) ◽

pp. 9451-9466 ◽

Cited By ~ 3

Author(s):

Radosław Kycia

Keyword(s):

Wave Equations ◽

Semilinear Wave Equations ◽

Self Similar ◽

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Microlocal Analysis and Nonlinear Waves - The IMA Volumes in Mathematics and its Applications ◽

10.1007/978-1-4613-9136-4_1 ◽

1991 ◽

pp. 1-7

Author(s):

Antônio Sá Barreto

Keyword(s):

Wave Equations ◽

Semilinear Wave Equations

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Long-time existence for semilinear wave equations with the inverse-square potential

Journal of Differential Equations ◽

10.1016/j.jde.2021.11.025 ◽

2022 ◽

Vol 309 ◽

pp. 98-141

Author(s):

Wei Dai ◽

Daoyuan Fang ◽

Chengbo Wang

Keyword(s):

Wave Equations ◽

Semilinear Wave Equations ◽

Long Time Existence ◽

Long Time ◽

Time Existence

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Asymptotic behaviors of radial solutions to semilinear wave equations in odd space dimensions

Hokkaido Mathematical Journal ◽

10.14492/hokmj/1380892534 ◽

1995 ◽

Vol 24 (1) ◽

pp. 9-51 ◽

Cited By ~ 4

Author(s):

Hideo KUBO ◽

Koji KUBOTA

Keyword(s):

Wave Equations ◽

Radial Solutions ◽

Asymptotic Behaviors ◽

Semilinear Wave Equations

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