# The ${L}^{p}$ solvability of the Dirichlet problems for parabolic equations

Studia Mathematica (2000)

- Volume: 139, Issue: 1, page 69-80
- ISSN: 0039-3223

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topTao, Xiang. "The $L^p$ solvability of the Dirichlet problems for parabolic equations." Studia Mathematica 139.1 (2000): 69-80. <http://eudml.org/doc/216711>.

@article{Tao2000,

abstract = {For two general second order parabolic equations in divergence form in Lip(1,1/2) cylinders, we give a criterion for the preservation of $L^p$ solvability of the Dirichlet problems.},

author = {Tao, Xiang},

journal = {Studia Mathematica},

keywords = {parabolic equation; $L^p$ solvability; Dirichlet problems; Lip(1,1/2) cylinder; second-order parabolic divergence form operators; time-dependent coefficients; preservation of solvability},

language = {eng},

number = {1},

pages = {69-80},

title = {The $L^p$ solvability of the Dirichlet problems for parabolic equations},

url = {http://eudml.org/doc/216711},

volume = {139},

year = {2000},

}

TY - JOUR

AU - Tao, Xiang

TI - The $L^p$ solvability of the Dirichlet problems for parabolic equations

JO - Studia Mathematica

PY - 2000

VL - 139

IS - 1

SP - 69

EP - 80

AB - For two general second order parabolic equations in divergence form in Lip(1,1/2) cylinders, we give a criterion for the preservation of $L^p$ solvability of the Dirichlet problems.

LA - eng

KW - parabolic equation; $L^p$ solvability; Dirichlet problems; Lip(1,1/2) cylinder; second-order parabolic divergence form operators; time-dependent coefficients; preservation of solvability

UR - http://eudml.org/doc/216711

ER -

## References

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- [N] K. Nyström, The Dirichlet problem for second order parabolic operators, Indiana Univ. Math. J. 46 (1997), 183-245. Zbl0878.35010
- [St] E. M. Stein, Harmonic Analysis: Real-Variable Methods, Orthogonality, and Oscillatory Integrals, Princeton Univ. Press, Princeton, NJ, 1993.

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