Unique continuation results for abstract quasi-linear evolution equations in Banach spaces

,

[1]  Igor Leite Freire,et al.  The Cauchy problem and continuation of periodic solutions for a generalized Camassa–Holm equation , 2022, Applicable Analysis.

[2]  Igor Leite Freire,et al.  Structural and qualitative properties of a geometrically integrable equation , 2022, Commun. Nonlinear Sci. Numer. Simul..

[3]  Igor Leite Freire Persistence properties of a Camassa–Holm type equation with (n + 1)-order non-linearities , 2020, Journal of Mathematical Physics.

[4]  Igor Leite Freire Geometrical demonstration for persistence properties of a bi-Hamiltonian shallow water system , 2020, Journal of Mathematical Physics.

[5]  Igor Leite Freire,et al.  Existence, persistence, and continuation of solutions for a generalized 0-Holm-Staley equation , 2020, Journal of Differential Equations.

[6]  Igor Leite Freire,et al.  Corrigendum Corrigendum : Conserved quantities , continuation and compactly supported solutions of some shallow water models ( 2021 J . Phys . A : Math . Theor . 54 015207 ) , 2021 .

[7]  Priscila Leal da Silva CONTINUATION OF SOLUTIONS AND GLOBAL ANALYTICITY FOR A GENERALIZED 0-EQUATION , 2021 .

[8]  Igor Leite Freire,et al.  A geometrical demonstration for continuation of solutions of the generalised BBM equation , 2020, Monatshefte für Mathematik.

[9]  Igor Leite Freire Conserved quantities, continuation and compactly supported solutions of some shallow water models , 2020, Journal of Physics A: Mathematical and Theoretical.

[10]  G. Ponce,et al.  Unique continuation properties for solutions to the Camassa-Holm equation and related models , 2020 .

[11]  Z. Yin,et al.  Blow-up phenomena and local well-posedness for a generalized Camassa–Holm equation in the critical Besov space , 2015, Monatshefte für Mathematik.

[12]  Susanna V. Haziot Wave breaking for the Fornberg–Whitham equation , 2017 .

[13]  J. Holmes Well-posedness of the Fornberg–Whitham equation on the circle , 2016 .

[14]  J. Holmes,et al.  Well-posedness and Continuity Properties of the Fornberg-Whitham Equation in Besov Spaces , 2016, 1606.00010.

[15]  T. Hayat,et al.  On blow-up of solutions to the two-component π-Camassa–Holm system , 2015 .

[16]  Igor Leite Freire,et al.  A family of wave-breaking equations generalizing the Camassa-Holm and Novikov equations , 2014, 1412.4415.

[17]  A. Alexandrou Himonas,et al.  Persistence properties and unique continuation for a generalized Camassa-Holm equation , 2014 .

[18]  Martin Kohlmann,et al.  On a two-component π-Camassa–Holm system , 2011, 1103.3154.

[19]  Yong Zhou On solutions to the Holm–Staley b-family of equations , 2010 .

[20]  Vladimir S. Novikov,et al.  Generalizations of the Camassa–Holm equation , 2009 .

[21]  D. Henry Persistence properties for a family of nonlinear partial differential equations , 2009 .

[22]  A. Himonas,et al.  On unique continuation for the modified Euler-Poisson equations , 2007 .

[23]  Yong Zhou,et al.  Persistence Properties and Unique Continuation of Solutions of the Camassa-Holm Equation , 2006, math/0604192.

[24]  F. Tiglay The Cauchy problem and integrability of a modified Euler-Poisson equation , 2005, math/0501279.

[25]  Darryl D. Holm,et al.  A New Integrable Equation with Peakon Solutions , 2002, nlin/0205023.

[26]  A. Constantin,et al.  The initial value problem for a generalized Boussinesq equation , 2002, Differential and Integral Equations.

[27]  A. Constantin Existence of permanent and breaking waves for a shallow water equation: a geometric approach , 2000 .

[28]  J. Escher,et al.  Global existence and blow-up for a shallow water equation , 1998 .

[29]  Darryl D. Holm,et al.  An integrable shallow water equation with peaked solitons. , 1993, Physical review letters.

[30]  Randall J. LeVeque,et al.  Solitary‐Wave Interactions in Elastic Rods , 1986 .

[31]  Tosio Kato,et al.  Quasi-linear equations of evolution, with applications to partial differential equations , 1975 .

[32]  G. M.,et al.  Partial Differential Equations I , 2023, Applied Mathematical Sciences.