1973
DOI: 10.1007/bf01083776
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Classical solvability and linear schemes for the approximate solution of the diffraction problem for quasilinear equations of parabolic and elliptic type

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Cited by 5 publications
(7 citation statements)
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“…First finding from [21] is that we have boundedness of u in L 1 .D/, that is for some positive M 2 R we have juj Ä M. The main result from [21] is the following theorem, adapted to our case. Theorem 1 (Theorem 2, [21]) Assume that for 1 >˛> 0 the following smoothness conditions are valid…”
Section: Cimrákmentioning
confidence: 97%
See 3 more Smart Citations
“…First finding from [21] is that we have boundedness of u in L 1 .D/, that is for some positive M 2 R we have juj Ä M. The main result from [21] is the following theorem, adapted to our case. Theorem 1 (Theorem 2, [21]) Assume that for 1 >˛> 0 the following smoothness conditions are valid…”
Section: Cimrákmentioning
confidence: 97%
“…To show the existence of the solutions to (2)-(3), we make use of theoretical results from [21] concerning the strong solution of quasilinear diffraction problems. First finding from [21] is that we have boundedness of u in L 1 .D/, that is for some positive M 2 R we have juj Ä M. The main result from [21] is the following theorem, adapted to our case. Theorem 1 (Theorem 2, [21]) Assume that for 1 >˛> 0 the following smoothness conditions are valid…”
Section: Cimrákmentioning
confidence: 99%
See 2 more Smart Citations
“…Then there exist R 0 > R 1 and a constant C 0 > 0 independent of such that [7,11], then there exists a constant…”
Section: Let ( ) Be a Weak Solution Of (Ql) For Any Function η(mentioning
confidence: 99%