An example for application of Lax–Milgram’s theorem and Riesz–Schauder’s theorem
In this note reviewing Lax–Migram’s theorem, we show an example of its application to prove the existence of a solution to an equation in complex Hilbert space arising in the field of electromagnetic heating.
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| Format: | Article |
| Language: | English |
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Elsevier
2024-12-01
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| Series: | Examples and Counterexamples |
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| Online Access: | http://www.sciencedirect.com/science/article/pii/S2666657X24000351 |
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| _version_ | 1850053581214842880 |
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| author | Tujin Kim |
| author_facet | Tujin Kim |
| author_sort | Tujin Kim |
| collection | DOAJ |
| description | In this note reviewing Lax–Migram’s theorem, we show an example of its application to prove the existence of a solution to an equation in complex Hilbert space arising in the field of electromagnetic heating. |
| format | Article |
| id | doaj-art-0d368f53f6d04889aeedc8d87c5f34a4 |
| institution | DOAJ |
| issn | 2666-657X |
| language | English |
| publishDate | 2024-12-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Examples and Counterexamples |
| spelling | doaj-art-0d368f53f6d04889aeedc8d87c5f34a42025-08-20T02:52:30ZengElsevierExamples and Counterexamples2666-657X2024-12-01610016910.1016/j.exco.2024.100169An example for application of Lax–Milgram’s theorem and Riesz–Schauder’s theoremTujin Kim0Institute of Mathematics, State Academy of Sciences, Pyongyang, Democratic People’s Republic of KoreaIn this note reviewing Lax–Migram’s theorem, we show an example of its application to prove the existence of a solution to an equation in complex Hilbert space arising in the field of electromagnetic heating.http://www.sciencedirect.com/science/article/pii/S2666657X24000351Lax–Migram’s theoremRiesz–Schauder’s theoremMicrowave and induction heating |
| spellingShingle | Tujin Kim An example for application of Lax–Milgram’s theorem and Riesz–Schauder’s theorem Examples and Counterexamples Lax–Migram’s theorem Riesz–Schauder’s theorem Microwave and induction heating |
| title | An example for application of Lax–Milgram’s theorem and Riesz–Schauder’s theorem |
| title_full | An example for application of Lax–Milgram’s theorem and Riesz–Schauder’s theorem |
| title_fullStr | An example for application of Lax–Milgram’s theorem and Riesz–Schauder’s theorem |
| title_full_unstemmed | An example for application of Lax–Milgram’s theorem and Riesz–Schauder’s theorem |
| title_short | An example for application of Lax–Milgram’s theorem and Riesz–Schauder’s theorem |
| title_sort | example for application of lax milgram s theorem and riesz schauder s theorem |
| topic | Lax–Migram’s theorem Riesz–Schauder’s theorem Microwave and induction heating |
| url | http://www.sciencedirect.com/science/article/pii/S2666657X24000351 |
| work_keys_str_mv | AT tujinkim anexampleforapplicationoflaxmilgramstheoremandrieszschauderstheorem AT tujinkim exampleforapplicationoflaxmilgramstheoremandrieszschauderstheorem |