Elliptic and Parabolic Equations with Involution and Degeneration at Higher Derivatives
نویسندگان
چکیده
We study the solvability in Sobolev spaces of boundary value problems for elliptic and parabolic equations with variable coefficients presence an involution (involutive deviation) at higher derivatives, both nondegenerate degenerate cases. For under study, we prove existence theorems as well uniqueness regular solutions, i.e., those that have all weak derivatives equation.
منابع مشابه
Elliptic and Parabolic Equations
Elliptic equations: 1. Harmonic functions 2. Perron’s method 3. Potential theory 4. Existence results; the method of suband supersolutions 5. Classical maximum principles for elliptic equations 6. More regularity, Schauder’s theory for general elliptic operators 7. The weak solution approach in one space dimension 8. Eigenfunctions for the Sturm-Liouville problem 9. Generalization to more dimen...
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ژورنال
عنوان ژورنال: Mathematics
سال: 2022
ISSN: ['2227-7390']
DOI: https://doi.org/10.3390/math10183325