Boundary-Value Problem for Parabolic Equations with Impulsive Conditions and Degenerations
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DOI: 10.1007/s10958-017-3338-z
Abstract: By using the maximum principle and a priori estimates, we study the first boundary-value problem for a linear parabolic equation with power singularities in coefficients with respect to the space variables and impulsive conditions with… read more here.
Keywords: problem parabolic; value problem; impulsive conditions; boundary value ... See more keywords
On the asymptotic behavior of solutions of the Cauchy problem for parabolic equations with time periodic coefficients
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DOI: 10.1007/s40072-021-00222-w
Abstract: We are considering the asimptotic behavior as t → ∞ of solutions of the Cauchy problem for parabolic second order equations with time periodic coefficients. The problem is reduced to considering degenerate time-homogeneous diffusion processes… read more here.
Keywords: problem parabolic; cauchy problem; time; behavior solutions ... See more keywords
Cauchy Problem and the Second Mixed Problem for Parabolic Equations with a Dirac Potential Concentrated at Finitely Many Given Points
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DOI: 10.1134/s001226611903008x
Abstract: We prove the existence and uniqueness of a classical solution of the Cauchy problem and the second mixed problem for parabolic equations whose potential is a linear combination of values of this solution at finitely… read more here.
Keywords: problem; problem parabolic; mixed problem; problem second ... See more keywords
Final Value Problem for Parabolic Equation with Fractional Laplacian and Kirchhoff’s Term
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DOI: 10.1155/2021/7238678
Abstract: In this paper, we study a diffusion equation of the Kirchhoff type with a conformable fractional derivative. The global existence and uniqueness of mild solutions are established. Some regularity results for the mild solution are… read more here.
Keywords: problem parabolic; kirchhoff; value problem; solution ... See more keywords