Results 91 to 100 of about 6,797 (118)

ON THE EXISTENCE OF STRONG SOLUTIONS OF HIGHER ORDER QUASILINEAR PARABOLIC EQUATIONS

UZBEK MATHEMATICAL JOURNAL
We consider boundary value problems for quasilinear parabolic equations with a main quasilinear elliptic operator of order 2b ≥ 2 in Sobolev space W2b,1 p (QT ).
Amanova, N. R., Khalilov, V. S.
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Multipoint problem for higher-order parabolic equations in a parallelepiped

Nonlinear Oscillations, 2009
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Ptashnyk, B. I., Tymkiv, I. R.
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Inverse Problems for Higher Order Parabolic Equations

1998
Inverse problems for higher order parabolic equations.
KAMYNIN V. L., SAROLDI M., FRANCINI, ELISA   +2 more
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Initial value problem of a higher order parabolic equation

Periodica Mathematica Hungarica, 1988
In the present work the initial value problem of the equation \[ D^ k_ t u=\sum^{k}_{j=1}a_ jD_ t^{k-j}(-1)^{m+1} \nabla^{2m} u+\sum^{k-1}_{j=0}\Lambda_ j(t)D^ j_ t u \] where \((A_ j(t)\), \(j=0,1,...,k-1\), \(0\leq t\leq T)\) is a family of bounded linear operators defined on \(C(R_ n)\), the space of all continuous functions defined on \(R_ n\) with
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Higher order parabolic approximations of the reduced wave equation

Journal of Sound and Vibration, 1986
Asymptotic solutions of order \(k^{-n}\) are developd for the reduced wave equation. Here k is a dimensionless wave number and n is the arbitrary order of the approximation. These approximations are an extension of geometric acoustics theory and provide corrections to that theory in the form of multiplicative functions which satisfy parabolic partial ...
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An Analytical Technique, Based on Natural Transform to Solve Fractional-Order Parabolic Equations

Entropy, 2021
Fatemah Mofarreh, Kamsing Nonlaopon, Ravi Agarwal   +2 more
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Green's function for second order parabolic equations with singular lower order coefficients

Communications on Pure and Applied Analysis, 2022
Seick Kim
exaly  

Fundamental Solution of the Cauchy Problem for Degenerate Parabolic Kolmogorov-Type Equations of Any Order

Journal of Mathematical Sciences, 2021
S D Ivasyshen, Ivasyshen S D
exaly  

Bounded solutions of degenerate quasilinear parabolic equations of the higher order

The authors consider a degenerate quasilinear higher-order parabolic differential equation. The conditions on existence and boundedness of solutions of the initial-boundary value problem by some regularization are obtained.
Nicolosi, F., Skrypnik, I. V.
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Null Controllability for Fourth Order Stochastic Parabolic Equations

SIAM Journal on Control and Optimization, 2022
Qi Lu, Yu Wang
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