Parabolic evolution equations in interpolation spaces: boundedness, stability, and applications

Zeitschrift für angewandte Mathematik und Physik ◽

10.1007/s00033-020-1264-2 ◽

2020 ◽

Vol 71 (2) ◽

Author(s):

Thi Ngoc Ha Vu ◽

Thieu Huy Nguyen ◽

Thi Mai Vu

Keyword(s):

Evolution Equations ◽

Interpolation Spaces ◽

Parabolic Evolution Equations

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On the principle of linearized stability in interpolation spaces for quasilinear evolution equations

Monatshefte für Mathematik ◽

10.1007/s00605-019-01352-z ◽

2019 ◽

Vol 191 (3) ◽

pp. 615-634 ◽

Author(s):

Bogdan-Vasile Matioc ◽

Christoph Walker

Keyword(s):

Evolution Equations ◽

Interpolation Spaces ◽

Linearized Stability

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Existence-uniqueness and long time behavior for a class of nonlocal nonlinear parabolic evolution equations

Proceedings of the American Mathematical Society ◽

10.1090/s0002-9939-00-05912-8 ◽

2000 ◽

Vol 128 (12) ◽

pp. 3483-3492 ◽

Author(s):

Azmy S. Ackleh ◽

Lan Ke

Keyword(s):

Evolution Equations ◽

Time Behavior ◽

Long Time Behavior ◽

Nonlinear Parabolic ◽

Parabolic Evolution Equations ◽

Long Time ◽

Nonlocal Nonlinear

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Parabolic evolution equations in interpolation and extrapolation spaces

Journal of Functional Analysis ◽

10.1016/0022-1236(88)90120-6 ◽

1988 ◽

Vol 78 (2) ◽

pp. 233-270 ◽

Author(s):

Herbert Amann

Keyword(s):

Evolution Equations ◽

Parabolic Evolution Equations

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Analyticity of solutions to fully nonlinear parabolic evolution equations on symmetric spaces

Nonlinear Evolution Equations and Related Topics ◽

10.1007/978-3-0348-7924-8_29 ◽

2004 ◽

pp. 549-576

Author(s):

Joachim Escher ◽

Gieri Simonett

Keyword(s):

Symmetric Spaces ◽

Evolution Equations ◽

Fully Nonlinear ◽

Nonlinear Parabolic ◽

Parabolic Evolution Equations

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Parabolic Evolution Equations

Functional Analytic Methods for Partial Differential Equations ◽

10.1201/9780203755419-6 ◽

2017 ◽

pp. 221-284

Author(s):

Hiroki Tanabe

Keyword(s):

Evolution Equations ◽

Parabolic Evolution Equations

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Moving Surfaces and Abstract Parabolic Evolution Equations

Topics in Nonlinear Analysis ◽

10.1007/978-3-0348-8765-6_10 ◽

1999 ◽

pp. 183-212 ◽

Author(s):

Joachim Escher ◽

Gieri Simonett

Keyword(s):

Evolution Equations ◽

Parabolic Evolution Equations

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Diffusions and Parabolic Evolution Equations

Distributions in the Physical and Engineering Sciences, Volume 2 - Applied and Numerical Harmonic Analysis ◽

10.1007/978-0-8176-4652-3_2 ◽

2013 ◽

pp. 59-91

Author(s):

Alexander I. Saichev ◽

Wojbor A. Woyczyński

Keyword(s):

Evolution Equations ◽

Parabolic Evolution Equations

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On the stability and error structure of BDF schemes applied to linear parabolic evolution equations

BIT Numerical Mathematics ◽

10.1007/s10543-010-0269-1 ◽

2010 ◽

Vol 50 (3) ◽

pp. 455-480

Author(s):

Winfried Auzinger ◽

Felix Kramer

Keyword(s):

Evolution Equations ◽

Error Structure ◽

Parabolic Evolution Equations ◽

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On semilinear parabolic evolution equations on closed sets

Journal of Mathematical Analysis and Applications ◽

10.1016/0022-247x(80)90245-0 ◽

1980 ◽

Vol 77 (2) ◽

pp. 513-538 ◽

Author(s):

Jan Prüss

Keyword(s):

Evolution Equations ◽

Closed Sets ◽

Parabolic Evolution Equations ◽

Semilinear Parabolic

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Time analyticity for solutions of nonlinear abstract parabolic evolution equations

Journal of Functional Analysis ◽

10.1016/0022-1236(87)90006-1 ◽

1987 ◽

Vol 71 (2) ◽

pp. 294-308 ◽

Author(s):

Alessandra Lunardi

Keyword(s):

Evolution Equations ◽

Parabolic Evolution Equations

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