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Partial Differential Equations

https://doi.org/10.1002/9780470061602.eqf12003
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Outgoing claims: the papers this work cites, builds on, or argues with.

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Unconditional error estimates of linearized BDF2-Galerkin FEMs for nonlinear coupled Schrödinger-Helmholtz equations
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A treecode algorithm for the Poisson equation in a general domain with unstructured grids
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Recurrence and Ergodicity of Switching Diffusions with Past-Dependent Switching Having a Countable State Space
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A Hyperbolic–Elliptic Model Problem for Coupled Surface–Subsurface Flow
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Roughness Evolution Induced by Third-Body Wear
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Deformable Image Registration Based on Functions of Bounded Generalized Deformation
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An integro-differential parabolic variational inequality arising from the valuation of double barrier American option
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Improved error estimates for a modified exponential Euler method for the semilinear stochastic heat equation with rough initial data
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Adaptive neural networks control for uncertain parabolic distributed parameter systems with nonlinear periodic time-varying parameter
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On Reachable Families of the Loewner Differential Equation in Several Complex Variables
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On a Theorem of Wolff Revisited
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Global Strong Solutions to the Compressible Nematic Liquid Crystal Flows with Large Oscillations and Vacuum in 2D Bounded Domains
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Extremal Sections for a Trudinger–Moser Functional on Vector Bundle over a Closed Riemann Surface
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Spectral analysis of a family of nonsymmetric fractional elliptic operators
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The Deep Ritz Method: A Deep Learning-Based Numerical Algorithm for Solving Variational Problems
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Strong convergence of a linearization method for semi-linear elliptic equations with variable scaled production
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Identification of a time-dependent control parameter for a stochastic diffusion equation
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Stability analysis for a class of semilinear nonlocal evolution equations
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Analyticity in partial differential equations
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Existence, Uniqueness, and Energy of Approximate Fourier Solutions of Modified Stochastic Sine-Gordon Equation with Power-Law Nonlinearity in 1D
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Geometric characterization of level set families of harmonic functions on Riemannian manifolds
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Least-squares estimators based on the Adams method for stochastic differential equations with small Lévy noise
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Wilton Ripples in Weakly Nonlinear Models of Water Waves: Existence and Computation
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Modeling of an aircraft fire extinguishing process with a porous medium equation
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New families of fractional Sobolev spaces
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A note on multidimensional integral inequalities
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Size distribution dynamics of plants with interaction by shading
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Remarks on invariance in reaction- diffusion equations
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Solving PDEs on spheres with physics-informed convolutional neural networks
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Boundary-to-solution mapping for groundwater flows in a Toth basin
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Adomian decomposition method for first order PDEs with unprescribed data
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Elliptic equations with measurable nonlinearities in nonsmooth domains
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Inhomogeneous Hopf–Oleĭnik Lemma and regularity of semiconvex supersolutions via new barriers for the Pucci extremal operators
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Regularity of solutions for a third order differential equation in Hilbert spaces
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Uniform boundedness and pattern formation for Keller–Segel systems with two competing species
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Regional observability for Hadamard-Caputo time fractional distributed parameter systems
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An improved product type oscillation test for partial difference equations
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