Necessary and sufficient stabilization conditions for the solution of the Cauchy problem for a parabolic equation with nonzero lower order coefficients

Doklady Mathematics ◽

10.1134/s1064562410040204 ◽

2010 ◽

Vol 82 (1) ◽

pp. 578-580 ◽

Author(s):

V. N. Denisov

Keyword(s):

Cauchy Problem ◽

Parabolic Equation ◽

Lower Order ◽

The Cauchy Problem ◽

Necessary And Sufficient

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Stabilization of a solution to the Cauchy problem for a nondivergence parabolic equation with growing lower order coefficients

Proceedings of the Steklov Institute of Mathematics ◽

10.1134/s0081543810030077 ◽

2010 ◽

Vol 270 (1) ◽

pp. 91-103 ◽

Author(s):

V. N. Denisov

Keyword(s):

Cauchy Problem ◽

Parabolic Equation ◽

Lower Order ◽

The Cauchy Problem

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Stabilization of the solution to the cauchy problem for a parabolic equation with nonzero lower order coefficients in classes of increasing initial functions

Doklady Mathematics ◽

10.1134/s1064562410010254 ◽

2010 ◽

Vol 81 (1) ◽

pp. 91-93 ◽

Author(s):

V. N. Denisov

Keyword(s):

Cauchy Problem ◽

Parabolic Equation ◽

Lower Order ◽

The Cauchy Problem

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The stabilization rate of a solution to the Cauchy problem for parabolic equation with lower order coefficients

10.1063/1.4959621 ◽

2016 ◽

Author(s):

Vasilii Denisov

Keyword(s):

Cauchy Problem ◽

Parabolic Equation ◽

Lower Order ◽

The Cauchy Problem

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Stabilization conditions for the solution of the Cauchy problem for a parabolic equation with growing lower order coefficients

Doklady Mathematics ◽

10.1134/s1064562413030290 ◽

2013 ◽

Vol 87 (3) ◽

pp. 348-350 ◽

Author(s):

V. N. Denisov

Keyword(s):

Cauchy Problem ◽

Parabolic Equation ◽

Lower Order ◽

The Cauchy Problem

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Exact stabilization conditions for the solutions of the Cauchy problem for a nondivergent parabolic equation with decreasing lower-order coefficients

Doklady Mathematics ◽

10.1134/s1064562412050146 ◽

2012 ◽

Vol 86 (2) ◽

pp. 654-656

Author(s):

V. N. Denisov

Keyword(s):

Cauchy Problem ◽

Parabolic Equation ◽

Lower Order ◽

The Cauchy Problem

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Stabilization of solution to the Cauchy problem for a parabolic equation with lower order coefficients and an exponentially growing initial function

Proceedings of the Steklov Institute of Mathematics ◽

10.1134/s0081543808020089 ◽

2008 ◽

Vol 261 (1) ◽

pp. 94-97

Author(s):

V. N. Denisov

Keyword(s):

Cauchy Problem ◽

Parabolic Equation ◽

Lower Order ◽

Initial Function ◽

The Cauchy Problem

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On stabilization of solutions of the Cauchy problem for a parabolic equation with lower-order coefficients

Journal of Mathematical Sciences ◽

10.1007/s10958-008-0134-9 ◽

2008 ◽

Vol 150 (5) ◽

pp. 2344-2357 ◽

Author(s):

V. N. Denisov

Keyword(s):

Cauchy Problem ◽

Parabolic Equation ◽

Lower Order ◽

The Cauchy Problem

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On Stabilization of the Solution of the Cauchy Problem for a Parabolic Equation with a Lower Order Coefficient and a Growing Initial Function

Journal of Mathematical Sciences ◽

10.1023/b:joth.0000016051.61775.e7 ◽

2004 ◽

Vol 120 (3) ◽

pp. 1313-1327

Author(s):

V. N. Denisov

Keyword(s):

Cauchy Problem ◽

Parabolic Equation ◽

Lower Order ◽

Initial Function ◽

Order Coefficient ◽

The Cauchy Problem

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The Stabilization Rate of a Solution to the Cauchy Problem for a Parabolic Equation with Lower Order Coefficient

Journal of Mathematical Sciences ◽

10.1007/s10958-015-2426-1 ◽

2015 ◽

Vol 208 (1) ◽

pp. 91-99 ◽

Author(s):

V. N. Denisov

Keyword(s):

Cauchy Problem ◽

Parabolic Equation ◽

Lower Order ◽

Order Coefficient ◽

The Cauchy Problem

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Necessary and sufficient conditions for stabilization of a solution to the Cauchy problem for the parabolic equation with radial potential

Journal of Mathematical Sciences ◽

10.1007/s10958-012-1119-2 ◽

2012 ◽

Vol 188 (3) ◽

pp. 207-217

Author(s):

V. N. Denisov

Keyword(s):

Cauchy Problem ◽

Parabolic Equation ◽

Sufficient Conditions ◽

Necessary And Sufficient Conditions ◽

The Cauchy Problem ◽

Radial Potential ◽

Necessary And Sufficient

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