Global Strong Solutions to Some Nonlinear Dirac Equations in Super-Critical Space
We study the initial value problem of some nonlinear Dirac equations which are Lmℝ critical. Corresponding to the structure of nonlinear terms, global strong solutions can be obtained in different Lebesgue spaces by using solution representation formula. The uniqueness of weak solutions is proved fo...
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2013/602753 |
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| _version_ | 1832556055370924032 |
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| author | Hyungjin Huh |
| author_facet | Hyungjin Huh |
| author_sort | Hyungjin Huh |
| collection | DOAJ |
| description | We study the initial value problem of some nonlinear Dirac equations which are Lmℝ critical. Corresponding to the structure of nonlinear terms, global strong solutions can be obtained in different Lebesgue spaces by using solution representation formula. The
uniqueness of weak solutions is proved for the solution U∈L∞0,T; Ym+2ℝ. |
| format | Article |
| id | doaj-art-36685b76bb75460eb568a0ffd890b7b7 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-36685b76bb75460eb568a0ffd890b7b72025-02-03T05:46:22ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/602753602753Global Strong Solutions to Some Nonlinear Dirac Equations in Super-Critical SpaceHyungjin Huh0Department of Mathematics, Chung-Ang University, Seoul 156-756, Republic of KoreaWe study the initial value problem of some nonlinear Dirac equations which are Lmℝ critical. Corresponding to the structure of nonlinear terms, global strong solutions can be obtained in different Lebesgue spaces by using solution representation formula. The uniqueness of weak solutions is proved for the solution U∈L∞0,T; Ym+2ℝ.http://dx.doi.org/10.1155/2013/602753 |
| spellingShingle | Hyungjin Huh Global Strong Solutions to Some Nonlinear Dirac Equations in Super-Critical Space Abstract and Applied Analysis |
| title | Global Strong Solutions to Some Nonlinear Dirac Equations in
Super-Critical Space |
| title_full | Global Strong Solutions to Some Nonlinear Dirac Equations in
Super-Critical Space |
| title_fullStr | Global Strong Solutions to Some Nonlinear Dirac Equations in
Super-Critical Space |
| title_full_unstemmed | Global Strong Solutions to Some Nonlinear Dirac Equations in
Super-Critical Space |
| title_short | Global Strong Solutions to Some Nonlinear Dirac Equations in
Super-Critical Space |
| title_sort | global strong solutions to some nonlinear dirac equations in super critical space |
| url | http://dx.doi.org/10.1155/2013/602753 |
| work_keys_str_mv | AT hyungjinhuh globalstrongsolutionstosomenonlineardiracequationsinsupercriticalspace |