Trudinger type inequalities and uniqueness of weak solutions for the nonlinear Schrödinger mixed problem (Q810307)
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scientific article; zbMATH DE number 4212644
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Trudinger type inequalities and uniqueness of weak solutions for the nonlinear Schrödinger mixed problem |
scientific article; zbMATH DE number 4212644 |
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Trudinger type inequalities and uniqueness of weak solutions for the nonlinear Schrödinger mixed problem (English)
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1991
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The authors consider a mixed problem for the nonlinear Schrödinger equation. A typical behaviour for the nonlinear interaction function is a cubic growth. It is shown that, under suitable assumptions on the initial data, the problem admits at most one weak solution. The proof makes use of variants of Trudinger's inequality.
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uniqueness
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cubic growth
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Trudinger's inequality
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0.9276278
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0.9129853
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0.90115523
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0.8913432
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0.88761085
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0.8874631
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