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Well-posedness and scattering for the KP-II equation in a critical space

Mathematics – Analysis of PDEs
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Well-posedness and spectral properties of heat and wave equations with non-local conditions

Mathematics – Analysis of PDEs
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Well-posedness and stability analysis for a moving boundary problem modelling the growth of nonnecrotic tumors

Mathematics – Analysis of PDEs
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Well-posedness and stability in the periodic case for the Benney system

Mathematics – Analysis of PDEs
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Well-posedness and stability results for the Gardner equation

Mathematics – Analysis of PDEs
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Well-posedness for a class of dissipative stochastic evolution equations with Wiener and Poisson noise

Mathematics – Analysis of PDEs
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Well-posedness for a Family of Perturbations of the KDV Equation in Periodic Sobolev Spaces of Negative Order

Mathematics – Analysis of PDEs
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Well-posedness for a higher order nonlinear Schrodinger equation in Sobolev spaces of negative indices

Mathematics – Analysis of PDEs
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Well-posedness for a modified Zakharov system

Mathematics – Analysis of PDEs
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Well-posedness for a multi-dimensional viscous liquid-gas two-phase flow model

Mathematics – Analysis of PDEs
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Well-posedness for compressible Euler equations with physical vacuum singularity

Mathematics – Analysis of PDEs
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Well-posedness for fractional Navier-Stokes equations in critical spaces close to $\dot{B}^{-(2β-1)}_{\infty,\infty}(\mathbb{R}^{n})$

Mathematics – Analysis of PDEs
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Well-posedness for one-dimensional derivative nonlinear Schrödinger equations

Mathematics – Analysis of PDEs
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Well-Posedness for Semi-Relativistic Hartree Equations of Critical Type

Mathematics – Analysis of PDEs
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Well-posedness for the 1D Zakharov-Rubenchik system

Mathematics – Analysis of PDEs
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Well-posedness for the classical Stefan problem and the zero surface tension limit

Mathematics – Analysis of PDEs
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Well-posedness for the fifth order KdV equation

Mathematics – Analysis of PDEs
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Well-posedness for the generalized Benjamin-Ono equations with arbitrary large initial data in the critical space

Mathematics – Analysis of PDEs
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Well-posedness for the heat flow of biharmonic maps with rough initial data

Mathematics – Analysis of PDEs
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Well-posedness for the heat flow of harmonic maps and the liquid crystals flow with rough initial data

Mathematics – Analysis of PDEs
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