Integral Operator methods in the theory of wave propagation and heat conduction:
Until recently the method of integral operators as initiated by S. Bergman and I.N. Vekua has been restricted to the case of elliptic equations and the investigation of steady state phenomena. In these lectures we survey the recent developments on the use of integral operators to investigate equatio...
Gespeichert in:
| 1. Verfasser: | |
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| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Newark, Del
Univ. of Delaware, Inst. for Math. Sciences
1977
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| Schlagworte: | |
| Zusammenfassung: | Until recently the method of integral operators as initiated by S. Bergman and I.N. Vekua has been restricted to the case of elliptic equations and the investigation of steady state phenomena. In these lectures we survey the recent developments on the use of integral operators to investigate equations associated with evolutionary phenomena, in particular parabolic equations, pseudoparabolic equations, and the reduced wave equation in a stratified medium. The topics discussed are transformation operators for partial differential equations, reflection principles and their application, the propagation of radio waves around the earth, the propagation of acoustic waves in a spherically stratified medium, low frequency approximations to acoustic scattering problems in a spherically stratified medium, heat conduction in two temperatures, inverse problems in the theory of heat conduction, and Runge's theorem for parabolic equations. Open problems are given at the end of each section. (Author) |
| Beschreibung: | 54 S. |
Internformat
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| 245 | 1 | 0 | |a Integral Operator methods in the theory of wave propagation and heat conduction |c by David Colton |
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| 300 | |a 54 S. | ||
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| 520 | |a Until recently the method of integral operators as initiated by S. Bergman and I.N. Vekua has been restricted to the case of elliptic equations and the investigation of steady state phenomena. In these lectures we survey the recent developments on the use of integral operators to investigate equations associated with evolutionary phenomena, in particular parabolic equations, pseudoparabolic equations, and the reduced wave equation in a stratified medium. The topics discussed are transformation operators for partial differential equations, reflection principles and their application, the propagation of radio waves around the earth, the propagation of acoustic waves in a spherically stratified medium, low frequency approximations to acoustic scattering problems in a spherically stratified medium, heat conduction in two temperatures, inverse problems in the theory of heat conduction, and Runge's theorem for parabolic equations. Open problems are given at the end of each section. (Author) | ||
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Datensatz im Suchindex
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| author | Colton, David 1943- |
| author_GND | (DE-588)115774173 |
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| id | DE-604.BV041394766 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T00:55:45Z |
| institution | BVB |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-026842461 |
| oclc_num | 634265521 |
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| owner | DE-188 |
| owner_facet | DE-188 |
| physical | 54 S. |
| publishDate | 1977 |
| publishDateSearch | 1977 |
| publishDateSort | 1977 |
| publisher | Univ. of Delaware, Inst. for Math. Sciences |
| record_format | marc |
| spelling | Colton, David 1943- Verfasser (DE-588)115774173 aut Integral Operator methods in the theory of wave propagation and heat conduction by David Colton Newark, Del Univ. of Delaware, Inst. for Math. Sciences 1977 54 S. txt rdacontent n rdamedia nc rdacarrier Until recently the method of integral operators as initiated by S. Bergman and I.N. Vekua has been restricted to the case of elliptic equations and the investigation of steady state phenomena. In these lectures we survey the recent developments on the use of integral operators to investigate equations associated with evolutionary phenomena, in particular parabolic equations, pseudoparabolic equations, and the reduced wave equation in a stratified medium. The topics discussed are transformation operators for partial differential equations, reflection principles and their application, the propagation of radio waves around the earth, the propagation of acoustic waves in a spherically stratified medium, low frequency approximations to acoustic scattering problems in a spherically stratified medium, heat conduction in two temperatures, inverse problems in the theory of heat conduction, and Runge's theorem for parabolic equations. Open problems are given at the end of each section. (Author) Parabolic equations Stratified medium PE61102F WUAFOSR2304A4 Operations Research scgdst Thermodynamics scgdst Radiofrequency Wave Propagation scgdst Transformations(mathematics) dtict Wave propagation dtict Operations research dtict Operators(mathematics) dtict Conduction(heat transfer) dtict Partial differential equations dtict Stratification dtict Wave equations dtict |
| spellingShingle | Colton, David 1943- Integral Operator methods in the theory of wave propagation and heat conduction Parabolic equations Stratified medium PE61102F WUAFOSR2304A4 Operations Research scgdst Thermodynamics scgdst Radiofrequency Wave Propagation scgdst Transformations(mathematics) dtict Wave propagation dtict Operations research dtict Operators(mathematics) dtict Conduction(heat transfer) dtict Partial differential equations dtict Stratification dtict Wave equations dtict |
| title | Integral Operator methods in the theory of wave propagation and heat conduction |
| title_auth | Integral Operator methods in the theory of wave propagation and heat conduction |
| title_exact_search | Integral Operator methods in the theory of wave propagation and heat conduction |
| title_full | Integral Operator methods in the theory of wave propagation and heat conduction by David Colton |
| title_fullStr | Integral Operator methods in the theory of wave propagation and heat conduction by David Colton |
| title_full_unstemmed | Integral Operator methods in the theory of wave propagation and heat conduction by David Colton |
| title_short | Integral Operator methods in the theory of wave propagation and heat conduction |
| title_sort | integral operator methods in the theory of wave propagation and heat conduction |
| topic | Parabolic equations Stratified medium PE61102F WUAFOSR2304A4 Operations Research scgdst Thermodynamics scgdst Radiofrequency Wave Propagation scgdst Transformations(mathematics) dtict Wave propagation dtict Operations research dtict Operators(mathematics) dtict Conduction(heat transfer) dtict Partial differential equations dtict Stratification dtict Wave equations dtict |
| topic_facet | Parabolic equations Stratified medium PE61102F WUAFOSR2304A4 Operations Research Thermodynamics Radiofrequency Wave Propagation Transformations(mathematics) Wave propagation Operations research Operators(mathematics) Conduction(heat transfer) Partial differential equations Stratification Wave equations |
| work_keys_str_mv | AT coltondavid integraloperatormethodsinthetheoryofwavepropagationandheatconduction |