Asymptotic Spreading for General Heterogeneous Fisher-KPP Type Equations
| Asymptotic Spreading for General Heterogeneous Fisher-KPP Type Equations |
| Autore | Berestycki Henri |
| Edizione | [1st ed.] |
| Pubbl/distr/stampa | Providence : , : American Mathematical Society, , 2022 |
| Descrizione fisica | 1 online resource (112 pages) |
| Disciplina |
515/.3534
515.3534 |
| Altri autori (Persone) | NadinGrégoire |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Reaction-diffusion equations
Differential equations, Parabolic - Asymptotic theory Partial differential equations -- Qualitative properties of solutions -- Asymptotic behavior of solutions Partial differential equations -- Qualitative properties of solutions -- Homogenization; equations in media with periodic structure Partial differential equations -- Parabolic equations and systems -- Reaction-diffusion equations Partial differential equations -- Qualitative properties of solutions -- Maximum principles Partial differential equations -- Parabolic equations and systems -- Second-order parabolic equations Partial differential equations -- Spectral theory and eigenvalue problems -- General topics in linear spectral theory Operator theory -- Special classes of linear operators -- Positive operators and order-bounded operators Calculus of variations and optimal control; optimization -- Hamilton-Jacobi theories, including dynamic programming -- Viscosity solutions |
| ISBN |
9781470472818
1470472813 |
| Classificazione | 35B4035B2735K5735B5035K1035P0547B6549L25 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | A general formula for the expansion sets -- Exact asymptotic spreading speed in different frameworks -- Properties of the generalized principal eigenvalues -- Proof of the spreading property -- The homogeneous, periodic and compactly supported cases -- The almost periodic case -- The uniquely ergodic case -- The radially periodic case -- The space-independent case -- The directionally homogeneous case -- Proof of the spreading property with the alternative definition of the expansion sets and applications -- Further examples and other open problems. |
| Record Nr. | UNINA-9910967107303321 |
Berestycki Henri
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| Providence : , : American Mathematical Society, , 2022 | ||
| Lo trovi qui: Univ. Federico II | ||
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Hypocoercivity / / Cédric Villani
| Hypocoercivity / / Cédric Villani |
| Autore | Villani Cédric <1973-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2009 |
| Descrizione fisica | 1 online resource (141 p.) |
| Disciplina | 515/.3533 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Differential equations, Partial - Asymptotic theory
Differential equations, Parabolic - Asymptotic theory Fokker-Planck equation Transport theory |
| Soggetto genere / forma | Electronic books. |
| ISBN | 1-4704-0564-4 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | ""Contents""; ""Abstract""; ""Introduction""; ""Part I. = * + ""; ""1. Notation""; ""2. Operators = * + ""; ""3. Coercivity and hypocoercivity""; ""4. Basic theorem""; ""5. Generalization""; ""6. Hypocoercivity in entropic sense""; ""7. Application: The kinetic Fokker-Planck equation""; ""8. The method of multipliers""; ""9. Further applications and open problems""; ""Part II. The auxiliary operator method""; ""10. Assumptions""; ""11. Main theorem""; ""12. Simplified theorem and applications""; ""13. Discussion and open problems""; ""Part III. Fully nonlinear equations"" |
| Record Nr. | UNINA-9910480511303321 |
Villani Cédric <1973->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , 2009 | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Hypocoercivity / / Cédric Villani
| Hypocoercivity / / Cédric Villani |
| Autore | Villani Cédric <1973-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2009 |
| Descrizione fisica | 1 online resource (141 p.) |
| Disciplina | 515/.3533 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Differential equations, Partial - Asymptotic theory
Differential equations, Parabolic - Asymptotic theory Fokker-Planck equation Transport theory |
| ISBN | 1-4704-0564-4 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | ""Contents""; ""Abstract""; ""Introduction""; ""Part I. = * + ""; ""1. Notation""; ""2. Operators = * + ""; ""3. Coercivity and hypocoercivity""; ""4. Basic theorem""; ""5. Generalization""; ""6. Hypocoercivity in entropic sense""; ""7. Application: The kinetic Fokker-Planck equation""; ""8. The method of multipliers""; ""9. Further applications and open problems""; ""Part II. The auxiliary operator method""; ""10. Assumptions""; ""11. Main theorem""; ""12. Simplified theorem and applications""; ""13. Discussion and open problems""; ""Part III. Fully nonlinear equations"" |
| Record Nr. | UNINA-9910788856503321 |
Villani Cédric <1973->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , 2009 | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Hypocoercivity / / Cédric Villani
| Hypocoercivity / / Cédric Villani |
| Autore | Villani Cédric <1973-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2009 |
| Descrizione fisica | 1 online resource (141 p.) |
| Disciplina | 515/.3533 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Differential equations, Partial - Asymptotic theory
Differential equations, Parabolic - Asymptotic theory Fokker-Planck equation Transport theory |
| ISBN | 1-4704-0564-4 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | ""Contents""; ""Abstract""; ""Introduction""; ""Part I. = * + ""; ""1. Notation""; ""2. Operators = * + ""; ""3. Coercivity and hypocoercivity""; ""4. Basic theorem""; ""5. Generalization""; ""6. Hypocoercivity in entropic sense""; ""7. Application: The kinetic Fokker-Planck equation""; ""8. The method of multipliers""; ""9. Further applications and open problems""; ""Part II. The auxiliary operator method""; ""10. Assumptions""; ""11. Main theorem""; ""12. Simplified theorem and applications""; ""13. Discussion and open problems""; ""Part III. Fully nonlinear equations"" |
| Record Nr. | UNINA-9910828130003321 |
Villani Cédric <1973->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , 2009 | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Realization of vector fields and dynamics of spatially homogeneous parabolic equations / / E.N. Dancer, P. Poláčik
| Realization of vector fields and dynamics of spatially homogeneous parabolic equations / / E.N. Dancer, P. Poláčik |
| Autore | Dancer E. N (Edward Norman), <1946-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [1999] |
| Descrizione fisica | 1 online resource (97 p.) |
| Disciplina |
510 s
515/.353 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Differential equations, Parabolic - Asymptotic theory
Reaction-diffusion equations |
| Soggetto genere / forma | Electronic books. |
| ISBN | 1-4704-0259-9 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | ""Contents""; ""1. Introduction""; ""2. Main results""; ""3. The center manifold reduction""; ""4. Center manifolds of (1.1), (1.2)""; ""5. The algebraic independence condition""; ""6. Perturbation of the domain""; ""7. A selection of eigenfunctions in high-dimensional eigenspaces""; ""8. Eigenfunctions with separable variables""; ""9. Completion of proofs""; ""References"" |
| Record Nr. | UNINA-9910480537103321 |
Dancer E. N (Edward Norman), <1946->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , [1999] | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Realization of vector fields and dynamics of spatially homogeneous parabolic equations / / E.N. Dancer, P. Poláčik
| Realization of vector fields and dynamics of spatially homogeneous parabolic equations / / E.N. Dancer, P. Poláčik |
| Autore | Dancer E. N (Edward Norman), <1946-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [1999] |
| Descrizione fisica | 1 online resource (97 p.) |
| Disciplina |
510 s
515/.353 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Differential equations, Parabolic - Asymptotic theory
Reaction-diffusion equations |
| ISBN | 1-4704-0259-9 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | ""Contents""; ""1. Introduction""; ""2. Main results""; ""3. The center manifold reduction""; ""4. Center manifolds of (1.1), (1.2)""; ""5. The algebraic independence condition""; ""6. Perturbation of the domain""; ""7. A selection of eigenfunctions in high-dimensional eigenspaces""; ""8. Eigenfunctions with separable variables""; ""9. Completion of proofs""; ""References"" |
| Record Nr. | UNINA-9910788738503321 |
Dancer E. N (Edward Norman), <1946->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , [1999] | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Realization of vector fields and dynamics of spatially homogeneous parabolic equations / / E.N. Dancer, P. Poláčik
| Realization of vector fields and dynamics of spatially homogeneous parabolic equations / / E.N. Dancer, P. Poláčik |
| Autore | Dancer E. N (Edward Norman), <1946-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [1999] |
| Descrizione fisica | 1 online resource (97 p.) |
| Disciplina |
510 s
515/.353 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Differential equations, Parabolic - Asymptotic theory
Reaction-diffusion equations |
| ISBN | 1-4704-0259-9 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | ""Contents""; ""1. Introduction""; ""2. Main results""; ""3. The center manifold reduction""; ""4. Center manifolds of (1.1), (1.2)""; ""5. The algebraic independence condition""; ""6. Perturbation of the domain""; ""7. A selection of eigenfunctions in high-dimensional eigenspaces""; ""8. Eigenfunctions with separable variables""; ""9. Completion of proofs""; ""References"" |
| Record Nr. | UNINA-9910818128903321 |
Dancer E. N (Edward Norman), <1946->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , [1999] | ||
| Lo trovi qui: Univ. Federico II | ||
| ||